Quadratic Equation Solver

Solve quadratic equations using the quadratic formula with step-by-step solutions. Calculate discriminant, find real or complex roots, and understand the nature of solutions.

Solve quadratic equations of the form ax² + bx + c = 0 using the quadratic formula

Coefficient a

Coefficient b

Coefficient c

Equation: ax² + bx + c = 0

About Quadratic Equations

A quadratic equation is a polynomial equation of degree 2, written in the form ax² + bx + c = 0, where a ≠ 0.

Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a

Discriminant: Δ = b² - 4ac

If Δ > 0: Two distinct real roots
If Δ = 0: One repeated real root
If Δ < 0: Two complex conjugate roots