Mathematics

Quadratic Equation

Find the roots of a quadratic equation.

x = [-b ± √(b² - 4ac)] / (2a)

Formula Explanation

This formula solves ax² + bx + c = 0 when a is not zero.

Variables Explained

a, b, c = coefficients; x = root; b² - 4ac = discriminant.

Solved Example

Solve x² - 5x + 6 = 0.
x = [5 ± √25 - 24]/2, giving x = 2 or x = 3.

Exam Tip

The discriminant determines whether real roots are distinct, equal or absent.