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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

+

Finding the roots with factorisation.

+
    +
  1. + +

    +

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

    +

    +
    + So, the answer is +

    + +
    2. +
  2. +

    +
    + Factors: 2, 4
    +

    +
    +
    +
    +
    +

    + +
    3. +
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Relation between Quadratic Equation and Algebraic Expressions

+

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

+ + +

Quadratic Equation's Root Operations

+

Finding Quadratic Equation with Roots

+

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

+ , where x1, 2 are the roots.
+

+ Example:

+ +

+ +

Quadratic Root's Mathematical Operations

+

Formulas

+

+

+

Examples

+
    +
  1. +

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

      +
    1. x1 + x2
      2. +
    2. x1 × x2
      3. +
    +

    +
    +
      +
      2. +
      3. +
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    2. +
+ +

References

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    +
  1. Quadratic Equation - The English Wikipedia, https://en.wikipedia.org/wiki/Quadratic_equation
    2. +
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