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Free Quadratic Equation Solver (Real & Complex Roots with Steps) Online

Solve any quadratic equation ax² + bx + c = 0 instantly. Computes discriminant (b² - 4ac), real roots, and complex imaginary roots with full steps. — 100% free online utility, zero sign-up, zero paywalls, and private client-side processing.

100% Client-Side0ms Latency
Algebraic & Polynomial Solverax² + bx + c = 0
Roots of Equationx₁ = 3.000, x₂ = 2.000
Discriminant (Δ)1
Parabola Vertex(2.50, -0.25)
Axis of Symmetryx = 2.50

How It Works

1

Enter Coefficient a

Input quadratic coefficient (a ≠ 0).

2

Enter Coefficients b & c

Input linear coefficient b and constant term c.

3

Review Discriminant

Inspect Δ = b² - 4ac to determine root nature (two real, one real, or two complex).

4

Copy Solved Roots

Copy exact radical and decimal root solutions.

Frequently Asked Questions

x = (-b ± √(b² - 4ac)) / (2a). It provides the exact roots for any second-degree polynomial.

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