Quadratic formula calculator
Solve ax² + bx + c = 0 with the quadratic formula and see both roots, discriminant, and nature of solutions.
Loading tool…
Recommended next step
Related math tools
After using Quadratic formula calculator, continue with Distance between two points.
Continue this path
Tools selected to complete the same task.
Tool guide
Quadratic formula calculator: how it works
Practical information to understand the result and use this tool correctly.
About Quadratic formula calculator
The quadratic formula is the standard closed-form solution for second-degree equations with a ≠ 0.
You get both roots when they are real, or the complex pair when the discriminant is negative.
Ideal for checking homework, physics trajectories, and any model that reduces to a parabola.
How to use it
- 1Enter coefficients a, b, and c.
- 2Calculate to view roots and discriminant.
- 3If a = 0, the equation is linear — not quadratic.
Frequently asked questions
- Negative discriminant?
- No real roots; the tool shows the complex conjugate pair with i.
- Repeated root?
- When Δ = 0 you get one real root with multiplicity two.