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Quadratic Formula Calculator

Solve ax² + bx + c = 0 with real or complex roots, showing the discriminant along the way.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

x = (−b ± √(b² − 4ac)) / (2a). The sign of the discriminant b² − 4ac tells you whether the roots are real or complex.

In depth

Solve ax² + bx + c = 0 with real or complex roots, showing the discriminant along the way.