Algebra
Intermediate

Quadratic Formula

Finds the roots of any quadratic equation ax² + bx + c = 0.

Formula

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Variables

aCoefficient of x²
bCoefficient of x
cConstant term

Example

For 2x² + 5x - 3 = 0: x = 0.5 or x = -3

Did You Know?

Babylonians were solving quadratic equations on clay tablets nearly 4,000 years ago — long before algebraic notation existed.

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