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Quadratic Equation Calculator | ax² + bx + c Solver

Quadratic Equation Calculator

Solve equation ax² + bx + c = 0

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Quadratic Formula

Main Formula

x = (-b ± √(b² − 4ac)) / 2a

Discriminant

D = b² − 4ac

Vertex Formula

x = -b / 2a

Frequently Asked Questions

What is a quadratic equation?

A quadratic equation is a polynomial equation of degree two in the form ax² + bx + c = 0.

What does the discriminant mean?

The discriminant determines the type of roots. If positive there are two real roots, if zero one root and if negative complex roots.