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Quadratic Equation Solver
Solve any quadratic ax²+bx+c=0 for real or complex roots, with the discriminant.
Free · No sign-up · Updated August 2026
ax² + bx + c = 0
Discriminant Δ = 1
x₁ = 2
x₂ = 1
Solves using the quadratic formula x = (−b ± √(b²−4ac)) / 2a, including complex roots.
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Frequently asked questions
How does it solve the equation?＋
It uses the quadratic formula x = (−b ± √(b²−4ac)) / 2a and shows the discriminant, giving two real, one repeated, or two complex roots.
What does the discriminant tell me?＋
Δ = b²−4ac. If Δ > 0 there are two real roots, if Δ = 0 one repeated real root, and if Δ < 0 two complex roots.