Quadratic Equation Solver

Enter the coefficients a, b and c to solve ax² + bx + c = 0.

Roots

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Discriminant—

Vertex—

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How it works

x = (−b ± √(b² − 4ac)) / 2a

Frequently Asked Questions

What if the discriminant is negative?

The equation has two complex roots, shown in the form p ± qi.

What if a is 0?

It is no longer quadratic. The solver treats it as the linear equation bx + c = 0.