➗ Quadratic Equation Solver — ax² + bx + c
Enter a, b and c to see the discriminant, real roots when they exist, and the vertex of the parabola.
Input
Result
Summary
Private by design. This tool runs entirely in your browser — nothing you enter or add is uploaded to any server.
How it works
- Enter the coefficients of ax² + bx + c = 0. a must not be zero.
- Press Solve. The discriminant is b² − 4ac.
- Copy the real roots, or the note that the roots are complex when the discriminant is negative.
Examples
- 1, -3, 2 gives roots 1 and 2.
- 1, 0, -4 gives roots -2 and 2.
- 1, 0, 1 has a negative discriminant, so no real roots.
Frequently asked questions
What if a is zero?
The equation is linear, not quadratic. The tool asks you to enter a non-zero a instead of silently switching formulas.
Are complex roots calculated?
No. A negative discriminant is reported as no real roots. Only real roots are printed.
Is any coefficient uploaded?
No. The quadratic formula runs in the page.
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