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Quadratic Equation Solver

Solve any quadratic equation ax² + bx + c = 0. Returns roots (real or complex), discriminant, sum / product of roots, and parabola vertex. Step-by-step formula breakdown.

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x² + x + = 0
Two real roots
x1 = 3
x2 = 2
Step-by-step
Discriminant Δ = b² − 4ac = 1
Sum of roots = −b/a = 5
Product of roots = c/a = 6
Vertex: (2.5, -0.25)
Quadratic formula: x = (−b ± √(b² − 4ac)) / 2a. The discriminant Δ tells you the nature of roots: Δ > 0 → two real, Δ = 0 → one repeated real, Δ < 0 → two complex.
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Inside the tool

What powers the Quadratic Equation Solver

Real / complex roots

Discriminant Δ = b² − 4ac

Sum of roots = −b/a

Product of roots = c/a

Parabola vertex (x, y)

Step-by-step breakdown

Built differently

Why the Quadratic Equation Solver is different

Browser-native

The Quadratic Equation Solver runs entirely in your browser. Input is processed locally — never uploaded, never logged, never cached anywhere outside your device.

No artificial limits

No daily quotas, no character ceilings, no "upgrade for more" walls. Every feature is the complete feature — the same on the first use as the thousandth.

Production-grade quality

Built to the same engineering bar as paid SaaS tools — accurate algorithms, audited logic, responsive design and accessibility-tested interactions.

Use Contexts

Common use contexts

  • Algebra homework
  • Physics motion equations
  • Engineering analysis
  • Quick verification
Privacy by design

Private and secure

Zero upload

All processing happens in your browser. Input is never transmitted, logged or cached.

Works offline

Once the page loads, the tool runs without an internet connection. No network calls happen during use.

No tracking

No accounts, no cookies for tool state. Only aggregate analytics count visits at the page level.

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