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Quadratic Equation Solver

Free quadratic equation solver. Solve ax²+bx+c=0 instantly. Shows discriminant, roots, and step-by-step solution.

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Quadratic Equation Solver
Free · Instant · No Signup

Formula

Formula
x = (−b ± √(b²−4ac)) ÷ 2a
b²−4ac is the discriminant. Positive = two real roots. Zero = one repeated root. Negative = two complex (imaginary) roots.

Frequently Asked Questions

What is the quadratic formula?+
x = (−b ± √(b²−4ac)) ÷ 2a. Plug in a, b, c from ax²+bx+c=0 to find both roots.
What does the discriminant tell us?+
Discriminant = b²−4ac. If positive: 2 real roots. If zero: 1 repeated root. If negative: 2 complex roots (no real solution).
What is x² − 5x + 6 = 0?+
a=1, b=-5, c=6. Discriminant = 25-24=1. x = (5±1)/2. So x=3 or x=2.
Is this quadratic solver free?+
Yes, completely free with no signup required.

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