From 18670260285d25b14921a89fae60089da334c921 Mon Sep 17 00:00:00 2001 From: altaf-creator Date: Mon, 25 Sep 2023 20:18:57 +0700 Subject: Unlocked website, added rationalising roots --- lessons/matematika/quadratic-equation/index.html | 277 +++++++++++++++++++++++ 1 file changed, 277 insertions(+) create mode 100644 lessons/matematika/quadratic-equation/index.html (limited to 'lessons/matematika/quadratic-equation/index.html') diff --git a/lessons/matematika/quadratic-equation/index.html b/lessons/matematika/quadratic-equation/index.html new file mode 100644 index 0000000..288d0d9 --- /dev/null +++ b/lessons/matematika/quadratic-equation/index.html @@ -0,0 +1,277 @@ + + + + + + + + + + Al Azhar 9th Grade Lesson Notes + + + + + + + + + + +
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❓ Unchecked by Professionals
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Introduction

+ 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.[1] +

Formula / Format

+ ax2 + bx + c = 0 +

+ a, b, c = known numbers, where a ≠ 0
+ x = the unknown, or the root +

+

Exercises

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Finding the roots with factorisation.

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  1. + +

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    + To find the answer, we need to find the factors of c that is suitable for b and c. What and how do I find the suitable factors?
    + The suitable factor for the equation are 2 and -3.
    + Then, insert each numbers to this formula: , where y is the factor.

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    + So, the answer is +

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    + Factors: 2, 4
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Relation between Quadratic Equation and Algebraic Expressions

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This is an algebraic expression → . You can turn that into a quadratic equation.

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Quadratic Equation's Root Operations

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Finding Quadratic Equation with Roots

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You can use the formula below to find a Quadratic Equation with 2 roots.

+ , where x1, 2 are the roots.
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+ Example:

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Quadratic Root's Mathematical Operations

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Formulas

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Examples

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  1. +

    Diketahui persamaan kuadrat , memiliki akar-akar persamaan kuadrat x1 dan x2. Jika x1 < x2, maka tentukan: +

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    1. x1 + x2
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    2. x1 × x2
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References

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  1. Quadratic Equation - The English Wikipedia, https://en.wikipedia.org/wiki/Quadratic_equation
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