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Quadratic Equation Solver

Solve ax² + bx + c = 0 with real or complex roots and see the discriminant.

To solve a quadratic equation, enter the coefficients a, b and c from ax² + bx + c = 0. The solver reports the discriminant, which determines whether there are two real roots, one repeated root or a complex conjugate pair, plus the vertex of the parabola.

Runs in your browser
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Runs entirely in your browser — nothing is uploaded
Cost
Free, unlimited, no sign-up

Frequently asked questions

What does the discriminant tell me?

Whether real solutions exist. If b² − 4ac is positive there are two; if zero, one repeated root; if negative, no real solutions and two complex ones. It answers the question before you finish solving.

Why do quadratics matter outside exams?

They describe anything under constant acceleration — a thrown object, braking distance, projectile paths — and appear throughout optimisation, where the maximum or minimum of a quadratic is where its derivative is zero.

How to use the quadratic equation solver

  1. 1Set the a (x² coefficient).
  2. 2Set the b (x coefficient).
  3. 3Set the c (constant).
  4. 4The result appears immediately — copy or download it.

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Put the working quadratic equation solver on your own site. It runs in your visitors' browsers exactly as it does here — free, no account, nothing uploaded.

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