TopToolsAiSolve any quadratic equation ax² + bx + c = 0. You get the real or complex roots, the discriminant, the vertex, the direction the parabola opens and the full working using the quadratic formula.
Last updated: 21 Sep 2026
How to use Quadratic Equation Solver
- Write your equation in the form ax² + bx + c = 0.
- Enter the coefficients a, b and c. Use a minus sign for negative values.
- Click Solve to see the roots, discriminant, vertex and the steps.
Frequently asked questions
What does the discriminant tell me?
If it is positive there are two real roots, if it is zero there is one repeated root, and if it is negative the roots are complex numbers.
What happens if a is 0?
Then the equation is not quadratic. The tool treats it as the linear equation bx + c = 0 and solves for x.
Can it find complex roots?
Yes. When the discriminant is negative the roots are shown in the form p ± qi.
Is this calculator free to use?
Yes, it is completely free, with no signup or account required.
Does my data get uploaded anywhere?
No. Everything is calculated in your browser and nothing is sent to our servers.
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