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x² Quadratic Formula Calculator

Solve quadratic equations with real or complex roots.

Enter values and calculate.

Formula or method

x = (−b ± √(b² − 4ac)) ÷ 2a

Results are estimates based on the values entered. Review assumptions before making consequential decisions.

Read the complete guide →

Calculator explained

About the Quadratic Formula Calculator

Solve quadratic equations with real or complex roots. This page combines the interactive tool with practical guidance so you can understand both the result and the assumptions behind it.

How the result is calculated

The tool supports learning and checking work. Show intermediate steps where required and follow the conventions used by your course or instructor.

Practical example

Start with the sample values shown in the Quadratic Formula Calculator. Change one input at a time and compare the updated result. This makes it easier to understand which input has the greatest effect.

Common mistakes to avoid

Common errors include mixing units, rounding too early, using the wrong formula, and reporting a number without the required units or explanation.

How to use the result

The tool supports learning and checking work. Show intermediate steps where required and follow the conventions used by your course or instructor.

Frequently asked questions

Does this tool store my values?

Values may be saved only in local browser storage for convenience. They are not sent to an IKDHub account.

Should I independently verify the result?

Yes. Verify consequential results with authoritative sources or a qualified professional.

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Last reviewed 2026-07-26. Educational use only; verify important decisions with a qualified professional or authoritative source.