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Quadratic Equation Solver

Solve ax² + bx + c = 0 with steps.

1-3x +2 = 0

Solutions

x₁ = 2.0000

x₂ = 1.0000

Discriminant: 1.0000
Vertex: (1.5000, -0.2500)

About

Type the coefficients and get the roots, the discriminant, and the vertex of the parabola. Handles real and complex roots. Useful for algebra homework or when you've forgotten the quadratic formula.

How to use

  1. Enter coefficients a, b, and c.
  2. Read the roots and the parabola summary.

FAQ

What if a = 0?+

Then it's a linear equation, not quadratic. The tool falls back to solving bx + c = 0 in that case.

What does a negative discriminant mean?+

No real solutions. The roots are complex conjugates, shown as p ± qi.