Quadratic Equation Solver
Solve ax² + bx + c = 0 with full working: the formula, substituted values, discriminant and real or complex roots, step by step.
Runs on your device
Result
Results appear here as you type.
What it does
Enter a, b and c. The solver shows every step the way a teacher expects it written, and handles repeated, complex and degenerate (a = 0) cases.
How to use it
- Enter the coefficients a, b and c.
- Read the discriminant and roots.
- Follow the working to check your own method.
Example
x² − 3x + 2 = 0 has roots 2 and 1. Select Try an example above to see it.
When it helps
- Homework and exam revision.
- Projectile and circuit problems.
- Checking hand calculations.
Questions
What if a is 0?
The equation is linear, and the solver solves bx + c = 0 instead.
How are complex roots written?
As real part ± imaginary part × i, for example −1 ± 2i.
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