CalcMate

Quadratic Equation Calculator

Solve any quadratic equation ax² + bx + c = 0: discriminant, both roots (real or complex), and the vertex.

About the Quadratic Equation Calculator

The quadratic formula: x = (−b ± √(b²−4ac)) / 2a. The discriminant D = b²−4ac decides the outcome: D > 0 gives two real roots, D = 0 a double root, D < 0 two complex conjugate roots.