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Quadratic Equation Calculator

Solve a quadratic equation in the form ax² + bx + c = 0 and inspect its discriminant and roots.

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Discriminant

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First root

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Second root

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Results are mathematical estimates. Statistical calculations depend on the entered data and assumptions; they do not establish causation or replace expert review.

Runs in your browser – your data never leaves your device Also available via our free API

How to use the Quadratic Equation Calculator

  1. 1 Enter the numbers or data requested.
  2. 2 Choose the calculation option when available.
  3. 3 Review the result and its assumptions.

How the Quadratic Equation Calculator works

The discriminant is b² − 4ac. A positive discriminant gives two real roots, zero gives one repeated real root, and a negative value gives a complex conjugate pair.

Entering your data

Use the values or comma-separated observations requested above. Check that you use consistent units and include every value relevant to the calculation.

Understanding the result

The result follows the formula shown here and is rounded for display. It is a mathematical aid; check assumptions and data quality before using it in coursework, analysis or a decision.

Frequently asked questions

How is this result calculated?

The discriminant is b² − 4ac. A positive discriminant gives two real roots, zero gives one repeated real root, and a negative value gives a complex conjugate pair.

Can I use the result as a guarantee?

No. The result depends on the inputs and stated assumptions. Review the data and method before relying on it.

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