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Quadratic Equation Solver

Solve ax² + bx + c = 0 and review real or complex roots, discriminant and vertex.

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1. Set up your workspace

Coefficients are finite numbers up to ±1 billion. A zero a becomes a linear equation. Floating-point results are approximations; small discriminants can be sensitive to input precision.

2. Review & use your result

Review the example inputs, then use solve equation.

Report / export preview

Generated file contents

Using Quadratic Equation Solver

Solve ax² + bx + c = 0 and review real or complex roots, discriminant and vertex.

Enter coefficient a and coefficient b. Try the example to see the format.
Solve equation and review the result, including the assumptions shown below the inputs.
Copy, download or print your result. Editing an input clears the previous result.

Example

The included example: Discriminant — 1; Root 1 — 2.
Change the inputs and generate a new result to compare it.

Questions & answers

How do I use this tool?

Solve ax² + bx + c = 0 and review real or complex roots, discriminant and vertex. Load the editable example, replace its values and use the main action button.

What should I check before using the result?

Coefficients are finite numbers up to ±1 billion. A zero a becomes a linear equation. Floating-point results are approximations; small discriminants can be sensitive to input precision.

Are my entries saved?

Processing runs in your browser without a tool account or saved history. Download your result to keep a copy. Website advertising follows our privacy information.

Can I export or print it?

Copy and file download are available after generating a result. Print produces a clean copy of the visible result; use your browser’s Save as PDF option if needed.

Can it solve a linear equation too?

Yes. Setting a to zero reduces the equation to bx + c = 0. If both a and b are zero, it reports either no solution or every x as a solution according to c.