Quadratic Equation Solver
Solves ax² + bx + c = 0 — real and complex roots, discriminant, vertex form.
Understanding the results
The discriminant b² − 4ac determines the nature of the roots. When it is positive, two real roots exist. When it is zero, one repeated real root. When negative, two complex conjugate roots appear.
Read: The Quadratic Formula — Full Derivation →