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Quadratic Equation Solver

Solve any quadratic equation ax² + bx + c = 0 instantly. Shows discriminant, real and complex roots, and step-by-step working. Free, browser-only.

100% client-side · no upload

How to use

  1. Enter the coefficients a, b, and c for your equation ax² + bx + c = 0.
  2. Results update automatically — discriminant (Δ = b² − 4ac) determines the nature of roots.
  3. If Δ > 0: two distinct real roots. If Δ = 0: one repeated root. If Δ < 0: two complex conjugate roots.

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Frequently Asked Questions

Is this quadratic solver free?
Yes, completely free with no signup and no usage limits.
Does my data leave my device?
No. All calculations happen locally in your browser with JavaScript.
Does it work on mobile?
Yes. Works on iPhone Safari and Android Chrome without installing any app.
Can it handle complex roots?
Yes. When the discriminant is negative (Δ < 0), the solver returns the two complex conjugate roots in a + bi form.

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