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Quadratic Equation Solver

Solve ax² + bx + c = 0 with real or complex roots, and see the discriminant and vertex.

Uses the quadratic formula x = (−b ± √(b² − 4ac)) / 2a. A negative discriminant gives complex roots.

Questions

What does the discriminant tell me?

Positive: two real roots. Zero: one repeated root. Negative: two complex roots.