Tools / Quadratic equation solver
Quadratic equation solver (abc & pq formula)
Enter the coefficients of ax² + bx + c = 0. Complex solutions are shown too.
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How to use it
- Bring the equation into the form ax² + bx + c = 0.
- Enter a, b and c.
- Read the solutions and the steps.
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Last checked: October 2026. Found a mistake? Use the form below – we fix confirmed errors and update the date.
Frequently asked questions
When does a quadratic equation have no real solution?
When the discriminant b² − 4ac is negative.
What is the pq formula?
The German school form of the quadratic formula for x² + px + q = 0: x = −p/2 ± √((p/2)² − q).