Math

Quadratic Equation Calculator

Solve ax² + bx + c = 0 in seconds — get real or complex roots, the discriminant, the vertex and a live parabola graph.

x = (−b ± √(b² − 4ac)) ÷ 2a

📈 Complex roots

Negative discriminant? We return exact complex solutions.

🔎 Vertex & axis

Get the turning point of the parabola automatically.

🎧 Step-by-step feel

Discriminant tells you instantly: 2, 1 or 0 real roots.

📊 Live graph

See the parabola drawn from your exact coefficients.

More math calculators

Master algebra and numbers with our free tools.