Quadratic Equation Solver

Solve any quadratic equation of the form ax² + bx + c = 0. Enter the coefficients a, b, and c to get the discriminant and roots — real or complex. Shows full step-by-step using the quadratic formula.

The quadratic formula x = (-b ± √(b²-4ac)) / 2a always works. If the discriminant is positive, there are 2 real roots. Zero means 1 repeated root. Negative means 2 complex conjugate roots.