Quadratic Equation Solver

Solve ax² + bx + c = 0 with real or complex roots.

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Coefficients

ax² + bx + c = 0

Solution

x₁
2
x₂
1
Discriminant
1
Vertex
(1.5, -0.25)

About the Quadratic Equation Solver

Enter the coefficients of a quadratic equation to find its roots, discriminant, and vertex. Handles real, repeated, and complex roots, as well as degenerate linear cases.

Examples

x² - 3x + 2 = 0

a=1, b=-3, c=2

Output

x1=2, x2=1

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Frequently asked questions

Version 1.0.0 · Updated 2026-08-07 · Runs entirely in your browser