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Quadratic Equation Solver

Solve any quadratic equation ax² + bx + c = 0. Real and complex roots instantly. Free, accurate, no sign-up.

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Solves ax² + bx + c = 0
Roots

Formula

x = (−b ± √(b²−4ac)) ÷ 2a | Discriminant = b²−4ac

Example

x² − 5x + 6 = 0 → x₁=3, x₂=2

Frequently Asked Questions

What is the discriminant?

b²−4ac: positive = 2 real roots, zero = 1 repeated, negative = 2 complex roots.

What are complex roots?

Numbers with imaginary component (i = √-1). They occur in conjugate pairs.

How to verify roots?

Substitute back into the equation — if result is 0, the root is correct.

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