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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 -

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Exercises

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Finding the roots with factorisation.

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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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    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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