Calculators & Utilities

Quadratic Equation Solver

Solve ax^2 + bx + c = 0 and report real or complex roots.

Free to use No account needed Quick result

Tool workspace

Private by design

Your result

Your result will appear here…

About the Quadratic Equation Solver

The Quadratic Solver calculates the discriminant b^2 - 4ac and uses it to distinguish two real roots, one repeated root or a complex conjugate pair. A zero leading coefficient is rejected as non-quadratic.

How to use the Quadratic Equation Solver

  1. Enter coefficients a, b and c with their signs.
  2. Solve and inspect the discriminant.
  3. Substitute roots back into the original equation when accuracy matters.

Practical tips

  • Write a missing term with coefficient zero.
  • Floating-point answers are formatted approximations for irrational roots.
Helpful answers

Quadratic Equation Solver FAQs