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📉Quadratic Equation Solver

Solve any quadratic equation ax²+bx+c=0. Enter your coefficients for instant real or complex roots, step-by-step working using the quadratic formula, discriminant analysis, and a parabola graph.

x² +
x +
= 0
Equation
x² − 5x + 6 = 0
Discriminant (Δ) 1 Two real roots
Root x₁ 3
Root x₂ 2

Step-by-step working

Parabola Graph

Free Quadratic Equation Solver Online

Stuck on a quadratic equation? Our free Quadratic Equation Solver finds the roots the moment you enter your coefficients. As a fast and reliable quadratic equation solver, it takes any equation in the form ax² + bx + c = 0 and instantly returns the solutions—whether they're real or complex—so you get the answer without the manual arithmetic.

But it does more than spit out a number. See the full step-by-step working using the quadratic formula, get a discriminant analysis that explains how many roots to expect and why, and view a parabola graph that plots your equation and its roots visually. Whether you're checking homework, studying for an exam, or teaching the concept, every part of the solution is laid out clearly.

Simply enter your a, b, and c values to see the solution instantly. No sign-up, no downloads, no limits—just clear answers whenever you need them.