Quadratic Formula Calculator

Solve any quadratic equation of the form ax² + bx + c = 0 instantly. Enter coefficients a, b, and c to find the roots using the quadratic formula x = (−b ± √(b²−4ac)) / 2a. The calculator identifies whether the discriminant is positive (two real roots), zero (one repeated root), or negative (two complex roots), and displays the vertex of the parabola. Every solution includes full step-by-step work so you can follow the algebra and check your own homework.