About the Quadratic Equation Solver
Enter a, b and c to solve any quadratic equation. You get the discriminant, both roots (including complex roots), the vertex, the sum and product of the roots, the full working and a graph.
Key features
- Real and complex roots
- Step-by-step working
- Discriminant explained
- Vertex of the parabola
- Sum and product of roots
- Graph of the equation
Solve any quadratic, with the working shown
Type the three coefficients and get the roots instantly, together with each step, so you can check your homework and see how the answer is reached.
Worked example: x² − 3x + 2 = 0
| Step | Working |
|---|---|
| Coefficients | a = 1, b = −3, c = 2 |
| Discriminant | (−3)² − 4 · 1 · 2 = 1 |
| Roots | x = (3 ± 1) ÷ 2, so x = 2 or x = 1 |
| Check | 2² − 3 · 2 + 2 = 0 ✓ |
Related tools
Scientific calculator, fraction calculator and periodic table.
How to use the Quadratic Equation Solver
- Enter your marks, grades or numbers in the fields above.
- Add or remove rows for each subject, course or assessment.
- The result updates instantly as you type.
- Your entries are saved in this browser, so you can come back and update them.