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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 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.



    So, the answer is


  2. Factors: 2, 4




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. x1 × x2

References

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