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
Discriminant (Δ = b² − 4ac)
Roots
Working (quadratic formula)
How to use
- Enter the coefficients a, b, and c for your equation ax² + bx + c = 0.
- Results update automatically — discriminant (Δ = b² − 4ac) determines the nature of roots.
- If Δ > 0: two distinct real roots. If Δ = 0: one repeated root. If Δ < 0: two complex conjugate roots.
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More ways to use this tool
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.
Last updated: By jarvisbox