CalcWorkspace
CalculatorMath

Quadratic Equation Calculator

Solve ax² + bx + c = 0 for real roots, with nonzero a. Example: x² − 5x + 6 has roots 2 and 3.

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Change any input above and the result updates instantly. The formula or method used by this tool is shown below.

Discriminant D = b² − 4ac; roots = (−b ± √D) / 2a.

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What does the Quadratic Equation Calculator do?+

Solve ax² + bx + c = 0 for real roots, with nonzero a. Example: x² − 5x + 6 has roots 2 and 3.

How does this calculator calculate the result?+

It uses this method: Discriminant D = b² − 4ac; roots = (−b ± √D) / 2a.

Are my inputs saved or sent to an account?+

Core CalcWorkspace tools require no account, and most calculations run locally in your browser. Favorites and recent-tool history, when used, stay in this browser.