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Quadratic Formula Calculator

Solve ax² + bx + c = 0 and show its discriminant and roots.

How it works

The discriminant b² − 4ac identifies whether roots are real or complex.

Formula and assumptions

This calculator uses the values and units shown above. Results are rounded for display. Confirm inputs and assumptions before relying on a result for academic, engineering or other important decisions.

Example

Try the sample values, calculate, then change one input at a time to see how the result changes.

Frequently asked questions

Are results exact? They depend on the selected formula, input values and rounding. Special cases are reported when possible.

Does this replace professional software? No. Independently verify results for safety-critical or formal work.

For educational and general information. Report an issue.

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