📈 Quadratic Equation Calculator

Solve any quadratic equation of the form ax² + bx + c = 0. Find both roots, discriminant, and vertex with step-by-step solution.

a (x² coefficient)

b (x coefficient)

c (constant)

Discriminant (b²−4ac)—

Number of Solutions—

Root 1 (x₁)—

Root 2 (x₂)—

Vertex (h, k)—

Sum of Roots—

Product of Roots—

What is a Quadratic Equation?

A quadratic equation has the form ax² + bx + c = 0. It can have two, one, or no real solutions depending on the discriminant.

x = (−b ± √(b²−4ac)) ÷ 2a. The discriminant b²−4ac determines the nature of roots.

Enter the coefficients a, b, and c of your quadratic equation and click Calculate to find the roots.