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| -rw-r--r-- | lessons-locked/matematika/pangkat-akar/scientific.html | 69 | ||||
| -rw-r--r-- | lessons-locked/matematika/quadratic-equation/finding-suitable.html | 117 | ||||
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diff --git a/lessons-locked/matematika/index.html b/lessons-locked/matematika/index.html deleted file mode 100644 index 4c800ec..0000000 --- a/lessons-locked/matematika/index.html +++ /dev/null @@ -1,70 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> -</head> -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <div class="gradient-bg"></div> - <div class="banner-text-container"> - <h1 class="banner-text" id="banner-txt">Matematika</h1> - <h3 class="banner-text" id="banner-txt">Hidayatullah, S.Pd.</h3> - </div> - </div> - - <div id="main"> - <section> - <h1 id="bab1">Chapter 1 - Bentuk Pangkat dan Akar</h1> - <p><a href="pangkat-akar/pangkat.html" class="link">Lesson 1: Exponent</a></p> - <p><a href="pangkat-akar/akar.html" class="link">Lesson 2: Root</a></p> - <p><a href="pangkat-akar/latihan.html" class="link">Exercise 1</a></p> - <p><a href="pangkat-akar/scientific.html" class="link">Lesson 3: Exponents Extended - Scientific Form of Decimals</a></p> - <h1 id="bab2">Chapter 2 - Quadratic Equation</h1> - <p><a href="quadratic-equation/" class="link">Main Lesson: Quadratic Equation - The Introduction</a></p> - <h1 id="bab3">Chapter 3 - Quadratic Function (no it's not equation)</h1> - <p><a href="quadratic-function/" class="link">Main Lesson: Quadratic Function - The Introduction</a></p> - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> -</html> diff --git a/lessons-locked/matematika/locked.html b/lessons-locked/matematika/locked.html deleted file mode 100644 index c6384ec..0000000 --- a/lessons-locked/matematika/locked.html +++ /dev/null @@ -1,58 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> -</head> -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <h1 class="banner-text" id="banner-txt">Matematika</h1> - </div> - - <div id="main"> - <section> - <p style="text-align: center; width: 100%;"><i class="fa-solid fa-file-circle-question"></i> This lesson is locked.</p> - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> -</html>
\ No newline at end of file diff --git a/lessons-locked/matematika/pangkat-akar/akar.html b/lessons-locked/matematika/pangkat-akar/akar.html deleted file mode 100644 index e7505de..0000000 --- a/lessons-locked/matematika/pangkat-akar/akar.html +++ /dev/null @@ -1,124 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> -</head> - -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <div class="gradient-bg"></div> - <div class="banner-text-container"> - <h1 class="banner-text" id="banner-txt">Root</h1> - <h3 class="banner-text" id="banner-txt">Chapter 1</h3> - </div> - </div> - - <div class="chip-container" id="chip-container"> - <div class="chip"><span>✅ Verified</span></div> - </div> - - <div id="main"> - <section> - <h1 id="definition">Definition</h1> - Root is the inverse of exponent. For example;<br> - <ul> - <li>4<sup>2</sup> = 16, <b>so <span class="sroot">16</span> = 4</b></li> - <li>5<sup>2</sup> = 25, <b>so <span class="sroot">25</span> = 5</b></li> - <li>10<sup>2</sup> = 100, <b>so <span class="sroot">100</span> = 10</b></li> - </ul> - - <h1 id="simplification">Simplifying Square Roots</h1> - You can simplify a root by factoring the root number another number that is rational. Or in other words, divide the root number by the perfect squares. For example; - <ul> - <li> - <strong>Simplify <span class="sroot">60</span></strong><br> - <span class="sroot">60</span> = <span class="sroot">4 × 15</span> = 2<span class="sroot">15</span><br> - </li> - <li> - <strong>Simplify <span class="sroot">48</span></strong><br> - <span class="sroot">48</span> = <span class="sroot">16 × 3</span> = 4<span class="sroot">3</span><br> - </li> - <li> - <strong>Simplify <span class="sroot">125</span></strong><br> - <span class="sroot">125</span> = <span class="sroot">25 × 5</span> = 5<span class="sroot">5</span><br> - </li> - </ul> - - <h1 id="root-operations">Root Operations</h1> - <h2 id="root-operations--addition">Addition</h2> - Roots with coefficient can be added with another coefficient that have the same roots. <br> - <strong>a<span class="sroot">c</span> + b<span class="sroot">c</span> = (a + b)<span class="sroot">c</span></strong> - <ul> - <li>3<span class="sroot">2</span> + 4<span class="sroot">2</span> = (3 + 4)<span class="sroot">2</span> = <strong>7<span class="sroot">2</span></strong></li> - <li><span class="sroot">5</span> + 3<span class="sroot">5</span> = (1 + 3)<span class="sroot">5</span> = <strong>4<span class="sroot">5</span></strong></li> - </ul> - <h2 id="root-operations--subtraction">Subtraction</h2> - Roots with coefficient can be subtracted with another coefficient that have the same roots. <br> - <strong>a<span class="sroot">c</span> - b<span class="sroot">c</span> = (a - b)<span class="sroot">c</span></strong> - <ul> - <li>7<span class="sroot">3</span> - 4<span class="sroot">3</span> = (7 - 4)<span class="sroot">3</span> = <strong>3<span class="sroot">2</span></strong></li> - <li>10<span class="sroot">6</span> - 5<span class="sroot">6</span> = (10 - 5)<span class="sroot">6</span> = <strong>5<span class="sroot">6</span></strong></li> - </ul> - <h2 id="root-operations--multiplication">Multiplication</h2> - Roots can be multiplied with any other roots. If the root is the same as the other multiplied root, the root can be deleted (if you want to be faster). <br> - <strong>a<span class="sroot">c</span> × b<span class="sroot">d</span> = (a × b)<span class="sroot">c × d</span></strong> - <ul> - <li><span class="sroot">2</span> × <span class="sroot">5</span> = <strong><span class="sroot">10</span></strong></li> - <li>3<span class="sroot">2</span> × 4<span class="sroot">3</span> = (3 × 4)<span class="sroot">2 × 3</span> = <strong>12<span class="sroot">6</span></strong></li> - <li>2<span class="sroot">5</span> × 3<span class="sroot">5</span> = (2 × 3)(5) = 6(5) = <strong>30</strong></li> - </ul> - <h2 id="root-operations--division">Division</h2> - Roots can be divided with any other roots. <br> - <strong>a<span class="sroot">c</span> ÷ b<span class="sroot">d</span> = (a ÷ b)<span class="sroot">c ÷ d</span></strong> - <ul> - <li> - 8<span class="sroot">6</span> ÷ 4<span class="sroot">3</span> = (8 ÷ 4)<span class="sroot">6 ÷ 3</span> = <strong>2<span class="sroot">2</span></strong> - </li> - </ul> - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> - -</html>
\ No newline at end of file diff --git a/lessons-locked/matematika/pangkat-akar/latihan.html b/lessons-locked/matematika/pangkat-akar/latihan.html deleted file mode 100644 index 6bdae1d..0000000 --- a/lessons-locked/matematika/pangkat-akar/latihan.html +++ /dev/null @@ -1,167 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> -</head> - -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <div class="gradient-bg"></div> - <div class="banner-text-container"> - <h1 class="banner-text" id="banner-txt">Exercise</h1> - <h3 class="banner-text" id="banner-txt">Chapter 1</h3> - </div> - </div> - - <div class="chip-container" id="chip-container"> - <div class="chip"><span>❓ Unchecked</span></div> - </div> - - <div id="main"> - <section> - <h1 id="questions">Pertanyaan</h1> - <ol> - <h2 id="questions--pangkat">Pangkat</h1> - <li style="margin-top: 10px;">8p<sup>2</sup>q × 2pq<sup>3</sup></li> - <li style="margin-top: 10px;">64<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>2</sub></span></sup> + 81<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup></li> - <li style="margin-top: 10px;">2<span class="sroot">5</span> + 3<span class="sroot">20</span> - 4<span class="sroot">5</span></li> - - <h2 id="questions--rasional">Merasionalkan Akar</h2> - <li style="margin-top: 10px;"><span class="frac"><sup>4</sup><span>⁄</span><sub><span class="sroot">5</span></sub></span></li> - <li style="margin-top: 10px;"><span class="frac"><sup>3<span class="sroot">5</span></sup><span>⁄</span><sub>2<span class="sroot">3</span></sup></sub></span></li> - <li style="margin-top: 10px;"><span class="frac"><sup>5</sup><span>⁄</span><sub><span class="sroot">3</span> - <span class="sroot">2</span></sub></span></li> - <li style="margin-top: 10px;"><span class="frac"><sup><span class="sroot">5</span> - <span class="sroot">7</span></sup><span>⁄</span><sub><span class="sroot">5</span> - <span class="sroot">2</span></sub></span></li> - - <h2 id="question--operasi-pangkat">Operasi Pangkat</h2> - <li style="margin-top: 10px;">(8p<sup>2</sup>3)<sup>3</sup> ÷ 2pq</li> - <li style="margin-top: 10px;"><span class="frac"><sup>(a<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup></sup><span>⁄</span><sub>(a<sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>4</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup></sup></sub></span></li> - - <h2 id="question--persamaan-pangkat">Persamaan Pangkat</h2> - <li style="margin-top: 10px;">2<sup>x + 8</sup> = 64</li> - <li style="margin-top: 10px;">16<sup>2x + 3</sup> = 32</li> - </ol> - <h1 id="jawaban">Jawaban</h1> - <ol> - <li style="margin-top: 10px;">16p<sup>3</sup>q<sup>4</sup></li> - <li style="margin-top: 10px;"> - 64<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>2</sub></span></sup> + 81<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup><br> - = <span class="sroot">64</span> + <sup>3</sup><span class="sroot">81</span><br> - = 8 + <sup>3</sup><span class="sroot">81</span> - </li> - <li style="margin-top: 10px;"> - 2<span class="sroot">5</span> + 3<span class="sroot">20</span> - 4<span class="sroot">5</span><br> - = 6<span class="sroot">5</span> + 3<span class="sroot">20</span><br> - = 6<span class="sroot">5</span> + 3<span class="sroot">4 × 5</span><br> - = 6<span class="sroot">5</span> + 3<span class="sroot">2<sup>2</sup> × 5</span><br> - = 6<span class="sroot">5</span> + 3 × 2<span class="sroot">5</span><br> - = 6<span class="sroot">5</span> + 6<span class="sroot">5</span><br> - = <strong>12<span class="sroot">5</span></strong><br> - </li> - <li style="margin-top: 10px;"> - <span class="frac"><sup>4</sup><span>⁄</span><sub><span class="sroot">5</span></sub></span><br> - = <span class="frac"><sup>4</sup><span>⁄</span><sub><span class="sroot">5</span></sub></span> × <span class="frac"><sup><span class="sroot">5</span></sup><span>⁄</span><sub><span class="sroot">5</span></sub></span> = <strong><span class="frac"><sup>4<span class="sroot">5</span></sup><span>⁄</span><sub>5</sub></span></strong> - </li> - <li style="margin-top: 10px;"> - <span class="frac"><sup>3<span class="sroot">5</span></sup><span>⁄</span><sub>2<span class="sroot">3</span></sup></sub></span><br> - = <span class="frac"><sup>3<span class="sroot">5</span></sup><span>⁄</span><sub>2<span class="sroot">3</span></sup></sub></span> × <span class="frac"><sup><span class="sroot">3</span></sup><span>⁄</span><sub><span class="sroot">3</span></sup></sub></span><br> - = <span class="frac"><sup><span style="text-decoration: line-through;">3</span><span class="sroot">15</span></sup><span>⁄</span><sub>2 × <span style="text-decoration: line-through;">3</span></sup></sub></span><br> - = <strong><span class="frac"><sup><span class="sroot">15</span></sup><span>⁄</span><sub>2</sup></sub></span></strong> - </li> - <li style="margin-top: 10px;"> - <span class="frac"><sup>5</sup><span>⁄</span><sub><span class="sroot">3</span> - <span class="sroot">2</span></sub></span><br> - = <span class="frac"><sup>5</sup><span>⁄</span><sub><span class="sroot">3</span> - <span class="sroot">2</span></sub></span> × <span class="frac"><sup><span class="sroot">3</span> + <span class="sroot">2</span></sup><span>⁄</span><sub><span class="sroot">3</span> + <span class="sroot">2</span></sub></span><br> - = <span class="frac"><sup>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>(<span class="sroot">3</span>)<sup>2</sup> - (<span class="sroot">2</span>)<sup>2</sup></sub></span><br> - = <span class="frac"><sup>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>3 - 2</sub></span> = <span class="frac"><sup>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>1</sub></span><br> - = <strong>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</strong> - </li> - <li style="margin-top: 10px;"> - <span class="frac"><sup><span class="sroot">5</span> - <span class="sroot">7</span></sup><span>⁄</span><sub><span class="sroot">5</span> - <span class="sroot">2</span></sub></span><br> - = <span class="frac"><sup><span class="sroot">5</span> - <span class="sroot">7</span></sup><span>⁄</span><sub><span class="sroot">5</span> - <span class="sroot">2</span></sub></span> × <span class="frac"><sup><span class="sroot">5</span> + <span class="sroot">2</span></sup><span>⁄</span><sub><span class="sroot">5</span> + <span class="sroot">2</span></sub></span><br> - = <span class="frac"><sup>(<span class="sroot">5</span> - <span class="sroot">7</span>) × (<span class="sroot">5</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>(<span class="sroot">5</span>)<sup>2</sup> - (<span class="sroot">2</span>)<sup>2</sup></sub></span><br> - = <span class="frac"><sup>5 + <span class="sroot">10</span> - <span class="sroot">35</span> - <span class="sroot">14</span></sup><span>⁄</span><sub>5 - 2</sub></span> = <strong><span class="frac"><sup>5 + <span class="sroot">10</span> - <span class="sroot">35</span> - <span class="sroot">14</span></sup><span>⁄</span><sub>3</sub></span></strong> - </li> - <li style="margin-top: 10px;"> - (8p<sup>2</sup>3)<sup>3</sup> ÷ 2pq <br> - = (24p<sup>2</sup>)<sup>3</sup> ÷ 2pq <br> - = 24<sup>3</sup> p<sup>6</sup> ÷ 2pq <br> - = <strong>6912p<sup>5</sup> ÷ q</strong> - </li> - <li style="margin-top: 10px;"> - = <span class="frac"><sup>(a<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup></sup><span>⁄</span><sub>(a<sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>4</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup></sup></sub></span><br> - = <span class="frac"> - <sup>(a<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup> (b<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup></sup> - <span>⁄</span> - <sub>(a<sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup> (b<sup><span class="frac"><sup>4</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup></sub> - </span><br> - = <span class="frac"> - <sup>a<sup>2</sup> b<sup>2</sup></sup> - <span>⁄</span> - <sub>a<sup>6</sup> b<sup>12</sup></sub> - </span><br> - = <strong>a<sup>-4</sup> b<sup>-10</sup></strong> - </li> - <li style="margin-top: 10px;"> - 2<sup>x + 8</sup> = 64 <br> - = <span style="text-decoration: line-through;">2</span><sup>x + 8</sup> = <span style="text-decoration: line-through;">2</span><sup>6</sup><br> - = x + 8 = 6 <br> - = x = 6 - 8 <br> - = <strong>x = -2</strong> - </li> - <li style="margin-top: 10px;"> - 16<sup>2x + 3</sup> = 32 <br> - = (2<sup>4</sup>)<sup>2x + 3</sup> = 2<sup>6</sup><br> - = <span style="text-decoration: line-through;">2</span><sup>8x + 12</sup> = <span style="text-decoration: line-through;">2</span><sup>6</sup> <br> - = 8x + 12 = 6 <br> - = 8x = 6 - 12 <br> - = 8x = 6 <br> - = x = <span class="frac"><sup>-6</sup><span>⁄</span><sub>8</sub></span><br> - = <strong>x = -<span class="frac"><sup>3</sup><span>⁄</span><sub>4</sub></span></strong> - </li> - </ol> - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> - -</html>
\ No newline at end of file diff --git a/lessons-locked/matematika/pangkat-akar/pangkat.html b/lessons-locked/matematika/pangkat-akar/pangkat.html deleted file mode 100644 index 7293e93..0000000 --- a/lessons-locked/matematika/pangkat-akar/pangkat.html +++ /dev/null @@ -1,139 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> -</head> - -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <div class="gradient-bg"></div> - <div class="banner-text-container"> - <h1 class="banner-text" id="banner-txt">Exponents</h1> - <h3 class="banner-text" id="banner-txt">Chapter 1</h3> - </div> - </div> - - <div class="chip-container" id="chip-container"> - <div class="chip"><span>✅ Verified</span></div> - </div> - - <div id="main"> - <section> - <h1 id="exponent">Exponents</h1> - x<sup>n</sup> = x<sub>1</sub> × x<sub>2</sub> × ... × x<sub>n</sub> - <h2 id="exponent--examples">Examples</h2> - <ul> - <li>2<sup>5</sup> = 2 × 2 × 2 × 2 × 2 = 32</li> - <li>5<sup>7</sup> = 5 × 5 × 5 × 5 × 5 × 5 × 5 = 78.125</li> - </ul> - <h1 id="exponent-operations">Exponent Operations</h1> - <h2 id="exponent-operations--multiplication">Multiplication</h2> - a<sup>x</sup> × b<sup>y</sup> = (a × b)<sup>x + y</sup> - <ul> - <li>10<sup>4</sup> × 2<sup>2</sup> = (10 × 2)<sup>4 + 2</sup> = <strong>20<sup>6</sup></strong></li> - </ul> - <h2 id="exponent-operations--division">Division</h2> - a<sup>x</sup> ÷ b<sup>y</sup> = (a ÷ b)<sup>x - y</sup> - <ul> - <li>10<sup>3</sup> ÷ 2<sup>4</sup> = (10 ÷ 2)<sup>4 - 2</sup> = <strong>5<sup>2</sup></strong></li> - </ul> - <h2 id="exponent-operations--exponent">Exponent</h2> - (a<sup>x</sup>)<sup>y</sup> = a<sup>x × y</sup> - <ul> - <li>(2<sup>2</sup>)<sup>3</sup> = 2<sup>2 × 3</sup> <strong>= 2<sup>6</sup> = 64</li></strong> - </ul> - - <h1 id="zero-exponent">Zero Exponent</h1> - <p>a<sup>0</sup> = 1</p> - <h2 id="zero-exponent--examples">Examples</h2> - <ul> - <li>5<sup>0</sup> = 1</li> - <li>7<sup>0</sup> = 1</li> - <li>100<sup>0</sup> = 1</li> - <li>28,67<sup>0</sup> = 1</li> - </ul> - <h1 id="one-exponent">One Exponent</h1> - <p>a<sup>1</sup> = a</p> - <h2 id="one-exponent--examples">Examples</h2> - <ul> - <li>5<sup>1</sup> = 5</li> - <li>7<sup>1</sup> = 7</li> - <li>100<sup>1</sup> = 100</li> - <li>28,67<sup>1</sup> = 28,67</li> - </ul> - <h1 id="fractional-exponent">Fractional Exponent</h1> - <img src="/assets/images/math/fractional_exponent.svg" alt=""> - <p>x <sup><span class="frac"><sup>y</sup><span>⁄</span><sub>z</sub></span></sup> = - <sup>z</sup><span><span class="sroot">x</span><sup style="font-size: small;">y</sup><span></span></span></p> - <h2 id="fractional-exponent--examples">Examples</h2> - <ul> - <li>5 <sup><span class="frac"><sup>1</sup><span>⁄</span><sub>2</sub></span></sup> = - <sup>2</sup><span><span class="sroot">5</span></span></li> - <li>7 <sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup> = - <sup>3</sup><span><span class="sroot">7<sup>2</sup></span></span></li> - </ul> - <p><strong>Small Note:</strong> 2</sup><span class="sroot">x</span> or <span class="sroot">x</span> menans square root. The 2 before root should be removed. The 2 is only present for easier purposes.<br>3</sup><span><span class="sroot">x</span> means cubic root.</p> - - <h1 id="exponential-equation">Exponential Equation</h1> - <ol> - <li>2<sup>x + 5</sup> = 64<br> - = <span style="text-decoration: line-through;">2</span><sup>x + 5</sup> = <span style="text-decoration: line-through;">2</span><sup>6</sup> <sub>↖ ubah ke bentuk 2 berpangkat (2<sup>x</sup>)</sub><br> - = x + 5 = 6<br> - = x = <strong>1</strong> - </li> - <li>16<sup>x + 2</sup> = 32<br> - = (2<sup>4</sup>)<sup>x + 2</sup> = 2<sup>5</sup><br> - = <span style="text-decoration: line-through;">2</span><sup>4x + 8</sup> = <span style="text-decoration: line-through;">2</span><sup>5</sup><br> - = 4x + 8 = 5<br> - = 4x = 5 - 8<br> - = 4x = -3<br> - = x = <span class="frac"><sup>-3</sup><span>⁄</span><sub>4</sub></span> = <strong>-<span class="frac"><sup>3</sup><span>⁄</span><sub>4</sub></span></strong> - </li> - </ol> - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> - -</html>
\ No newline at end of file diff --git a/lessons-locked/matematika/pangkat-akar/scientific.html b/lessons-locked/matematika/pangkat-akar/scientific.html deleted file mode 100644 index 9394f6e..0000000 --- a/lessons-locked/matematika/pangkat-akar/scientific.html +++ /dev/null @@ -1,69 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> -</head> - -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <div class="gradient-bg"></div> - <div class="banner-text-container"> - <h1 class="banner-text" id="banner-txt">Standard Form (decimals)</h1> - <h3 class="banner-text" id="banner-txt">Chapter 1</h3> - </div> - </div> - - <div class="chip-container" id="chip-container"> - <div class="chip"><span>🔍 Unfinished</span></div> - </div> - - <div id="main"> - <section> - - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> - -</html>
\ No newline at end of file diff --git a/lessons-locked/matematika/quadratic-equation/finding-suitable.html b/lessons-locked/matematika/quadratic-equation/finding-suitable.html deleted file mode 100644 index 9e13f01..0000000 --- a/lessons-locked/matematika/quadratic-equation/finding-suitable.html +++ /dev/null @@ -1,117 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> - <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.css" - integrity="sha384-pRsDYiLLocCzWnUN/YEr9TBTTaZOUi5x8adKfqi6Qt44lDaFkoP++x1j2ohSMtdf" crossorigin="anonymous"> - <script src="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.js" - integrity="sha384-tMzugJpfLv7v0f+KXzNMqNCC6sVzLMM3sCnZDgzy0lcO/0h3sAkEBg/URFcV0JpE" - crossorigin="anonymous"></script> -</head> - -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i - class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <div class="gradient-bg"></div> - <div class="banner-text-container"> - <h1 class="banner-text" id="banner-txt">Quadratic Equation: Finding the suitable factor</h1> - <h3 class="banner-text" id="banner-txt">Chapter 2 sub-page</h3> - </div> - </div> - - <div class="chip-container" id="chip-container"> - <div class="chip" title="Beware of mistakes. Please report to me (Altaf) if you caught a mistake here."><span>❓ Unchecked by Professionals</span></div> - </div> - - <div id="main"> - <section> - <p><strong><a href="/lessons/matematika/quadratic-equation/" class="link">← Go back to Main Lesson</a></strong></p> - Firstly, lets use this equation. <br> - <span id="m1"></span><br> - <h1 id="steps">Step-by-step</h1> - <ol> - <li>Find the factors of <span class="math-font">c</span>, which in this equation, <span class="math-font">c = </span><span class="math-font-main">30</span>.</li> - <li>The factors of 30 are: - <ul> - <li>1, 30</li> - <li>2, 15</li> - <li>3, 10</li> - <li>5, 6</li> - </ul> - </li> - <li>Lets define that the first and second factors are <span class="math-font">y<sub>1, 2</sub></span>. To find the suitable factors for the equation, you need to check if; - <ul> - <li><span id="m2"></span>, and</li> - <li><span id="m3"></span></li> - </ul> - </li> - <li>Check for each of the factors. We end up with 5 and 6. <br> <span id="m4"></span></li> - <li>So, the answer is <strong><span class="math-font-main">5 & 6</span></strong></li> - </ol> - <p><strong><a href="/lessons/matematika/quadratic-equation/" class="link">← Go back to Main Lesson</a></strong></p> - <script defer> - var element1 = document.getElementById("m1"); - var element2 = document.getElementById("m2"); - var element3 = document.getElementById("m3"); - var element4 = document.getElementById("m4"); - - katex.render(String.raw`x^2 + 11x + 30 = 0`, element1, { - throwOnError: false - }); - katex.render(String.raw`y_1 + y_2 = b`, element2, { - throwOnError: false - }); - katex.render(String.raw`y_1 \times y_2 = c`, element3, { - throwOnError: false - }); - katex.render(String.raw`5 \times 6 = 30\\5 + 6 = 11`, element4, { - throwOnError: false - }); - </script> - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> - -</html>
\ No newline at end of file diff --git a/lessons-locked/matematika/quadratic-equation/index.html b/lessons-locked/matematika/quadratic-equation/index.html deleted file mode 100644 index 288d0d9..0000000 --- a/lessons-locked/matematika/quadratic-equation/index.html +++ /dev/null @@ -1,277 +0,0 @@ -<!DOCTYPE html> -<html lang="en"> - -<head> - <meta charset="UTF-8"> - <meta http-equiv="X-UA-Compatible" content="IE=edge"> - <meta name="viewport" content="width=device-width, initial-scale=1.0"> - <link rel="stylesheet" href="/style.css"> - <link rel="icon" href="/assets/images/master.svg"> - <title>Al Azhar 9th Grade Lesson Notes</title> - <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> - <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> - <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> - <link rel="manifest" href="/site.webmanifest"> - <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> - <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.css" - integrity="sha384-pRsDYiLLocCzWnUN/YEr9TBTTaZOUi5x8adKfqi6Qt44lDaFkoP++x1j2ohSMtdf" crossorigin="anonymous"> - <script src="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.js" - integrity="sha384-tMzugJpfLv7v0f+KXzNMqNCC6sVzLMM3sCnZDgzy0lcO/0h3sAkEBg/URFcV0JpE" - crossorigin="anonymous"></script> -</head> - -<body> - <div class="fixed-top-btn-container" id="topbtn"> - <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i - class="fa-solid fa-bars"></i></a> - <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> - </div> - <div id="console"></div> - <div id="sidebar"> - <div> - <a href="/index.html"> - <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> - </a> - - <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> - </div> - - <div> - <a href="/about/author.html" class="sidebar-link link">About the Author</a> - <a href="/about/school.html" class="sidebar-link link">About School</a> - <a href="/lessons" class="sidebar-link link">Lessons</a> - - - <hr class="divider"> - <div id="toc"> - <h4>Table of Contents</h4> - </div> - </div> - </div> - - <div class="banner-container" id="banner"> - <div class="banner-bg" id="img-supplies"></div> - <div class="gradient-bg"></div> - <div class="banner-text-container"> - <h1 class="banner-text" id="banner-txt">Quadratic Equation: The Introduction</h1> - <h3 class="banner-text" id="banner-txt">Chapter 2</h3> - </div> - </div> - - <div class="chip-container" id="chip-container"> - <div class="chip" title="Beware of mistakes. Please report to me (Altaf) if you caught a mistake here."><span>❓ Unchecked by Professionals</span></div> - </div> - - <div id="main"> - <section> - <h1 id="introduction">Introduction</h1> - In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x - represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.<sup>[<a - href="#reference-1" class="link-compact">1</a>]</sup> - <h2 id="introduction--formula">Formula / Format</h2> - <span class="math-font">ax<sup>2</sup> + bx + c = 0</span> - <p> - <span class="math-font">a, b, c</span> = known numbers, where a ≠ 0 <br> - <span class="math-font">x</span> = the unknown, or the root - </p> - <h2 id="introduction--exercise">Exercises</h2> - <h3>Finding the roots with factorisation.</h3> - <ol> - <li> - <span id="q1.1.1"></span> - <p> - <hr> - <span>To find the answer, we need to find the factors of c that is suitable for b and c. <a href="finding-suitable.html" class="link">What and how do I find the suitable factors?</a></span><br> - <span>The suitable factor for the equation are <b>2 and -3</b>. </span><br> - <span>Then, insert each numbers to this formula: <span id="q1.1.2"></span>, where <span - class="math-font">y</span> is the factor.</span><br><br> - <span id="q1.1.3"></span><br><span id="q1.1.31"></span><br> - <hr> - <strong>So, the answer is <span id="q1.1.4"></span></strong> - </p> - <script defer> - var element1 = document.getElementById("q1.1.1"); - var element2 = document.getElementById("q1.1.2"); - var element3 = document.getElementById("q1.1.3"); - var element31 = document.getElementById("q1.1.31"); - var element4 = document.getElementById("q1.1.4"); - - katex.render(String.raw`x^2 - 1x - 6 = 0`, element1, { - throwOnError: false - }); - katex.render(String.raw`x + y`, element2, { - throwOnError: false - }); - katex.render(String.raw` - \begin{aligned} - x + 2 &= 0\\ - x &= -2\\ - \end{aligned} - `, element3, { - throwOnError: true - }); katex.render(String.raw` - \begin{aligned} - x - 3 &= 0\\ - x &= 3 - \end{aligned} - `, element31, { - throwOnError: true - }); - katex.render(String.raw`x = \{-2, 3\}`, element4, { - throwOnError: false - }); - </script> - </li> - <li> - <p> - <span id="q1.2.1"></span><br> - <span><strong>Factors:</strong> <span class="math-font">2, 4</span></span><br> - <hr> - <span id="q1.2.2"></span><br> - <span id="q1.2.3"></span><br> - <hr> - <span id="q1.2.4"></span><br> - </p> - <script defer> - var element1 = document.getElementById("q1.2.1"); - var element2 = document.getElementById("q1.2.2"); - var element3 = document.getElementById("q1.2.3"); - var element4 = document.getElementById("q1.2.4"); - - katex.render(String.raw`x^2 + 6x + 8 = 0`, element1, { - throwOnError: false - }); - katex.render(String.raw` - \begin{aligned} - x + 2 &= 0\\ - x &= -2\\ - \end{aligned} - `, element2, { - throwOnError: true - }); katex.render(String.raw` - \begin{aligned} - x + 4 &= 0\\ - x &= 4 - \end{aligned} - `, element3, { - throwOnError: true - }); - katex.render(String.raw`x = \{-2, -4\}`, element4, { - throwOnError: false - }); - </script> - </li> - </ol> - <h1 id="relation-algebra">Relation between Quadratic Equation and Algebraic Expressions</h1> - <p>This is an algebraic expression → <span id="m0"></span>. You can turn that into a quadratic equation.</p> - <span id="m1"></span> - <script> - const m0 = document.getElementById("m0"); - const m1 = document.getElementById("m1"); - - katex.render(String.raw`(x + 5)(x + 7)`, m0, { - throwOnError: false - }); - katex.render(String.raw` - \begin{aligned} - (x + 5)(x + 7) &= x^2 + 5x + 7x + 35&\\ - &= x^2 + 12x + 35&\larr\textnormal{quadratic equation 😱😱} - \end{aligned} - `, m1, { - throwOnError: true - }); - </script> - <h1 id="all-about-roots">Quadratic Equation's Root Operations</h1> - <h2 id="finding-qe">Finding Quadratic Equation with Roots</h2> - <p>You can use the formula below to find a Quadratic Equation with 2 roots.</p> - <span id="m2"></span><span>, where <span class=math-font>x<sub>1, 2</sub></span> are the roots.</span><br> - <p> - <strong>Example:</strong><br><br> - <span id="m3"></span> - </p> - <script> - const m2 = document.getElementById("m2"); - const m3 = document.getElementById("m3"); - - katex.render(String.raw`(x - x_1)(x - x_2) = 0`, m2, { - throwOnError: false - }); - katex.render(String.raw` - \begin{aligned} - (x - x_1)(x - x_2) &= 0\\ - (x - (-3))(x - 4) &= 0\\ - (x + 3))(x - 4) &= 0\\ - x^2 - 4x + 3x - 12 &= 0\\ - x^2 - x - 12 &= 0 - \end{aligned} - `, m3, { - throwOnError: true - }); - </script> - <h2 id="operations">Quadratic Root's Mathematical Operations</h2> - <h3 id="operations--formulas">Formulas</h3> - <p id="m4"></p> - <p id="m5"></p> - <h3 id="operations--examples">Examples</h3> - <ol> - <li> - <p>Diketahui persamaan kuadrat <span id="q1"></span>, memiliki akar-akar persamaan kuadrat <span class="math-font">x<sub>1</sub></span> dan <span class="math-font">x<sub>2</sub></span>. Jika <span class="math-font">x<sub>1</sub> < x<sub>2</sub></span>, maka tentukan: - <ol type="a"> - <li><span class="math-font">x<sub>1</sub> + x<sub>2</sub></span></li> - <li><span class="math-font">x<sub>1</sub> × x<sub>2</sub></span></li> - </ol> - </p> - <hr> - <ol type="a"> - <li><span id="a1"></span></li> - <li><span id="a2"></span></li> - </ol> - </li> - </ol> - <script> - const m4 = document.getElementById("m4"); - const m5 = document.getElementById("m5"); - const q1 = document.getElementById("q1"); - const a1 = document.getElementById("a1"); - const a2 = document.getElementById("a2"); - - katex.render(String.raw`x_1 + x_2 = \dfrac{-b}{a}`, m4, { - throwOnError: false - }); - katex.render(String.raw`x_1 \times x_2 = \dfrac{c}{a}`, m5, { - throwOnError: false - }); - katex.render(String.raw`2x^2 + 7x + 3 = 0`, q1, { - throwOnError: false - }); - katex.render(String.raw` - \begin{aligned} - x_1 + x_2 &= \dfrac{-b}{a}\\ - &= \dfrac{-7}{2}\\ - \end{aligned} - `, a1, { - throwOnError: true - }); - katex.render(String.raw` - \begin{aligned} - x_1 \times x_2 &= \dfrac{c}{a}\\ - &= \dfrac{3}{2}\\ - \end{aligned} - `, a2, { - throwOnError: true - }); - </script> - <h1>References</h1> - <ol> - <li id="reference-1" tabindex="-1">Quadratic Equation - The English Wikipedia, <a - href="https://en.wikipedia.org/wiki/Quadratic_equation" - class="link">https://en.wikipedia.org/wiki/Quadratic_equation</a></li> - </li> - </section> - </div> - - <script src="/scripts/toc.js"></script> - <script src="/scripts/sidebar.js"></script> -</body> - -</html>
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