Quadratic Equation Solver
Roots, discriminant and vertex of ax² + bx + c = 0.
Inputs
Formula
- x = (−b ± √(b² − 4ac)) / 2a
- D = b² − 4ac
The discriminant decides whether the roots are real and distinct, repeated, or complex.
Step-by-step calculation
- 1
Discriminant
-3² − 4×1×2
1
- 2
Roots
(−-3 ± √1) / (2×1)
2 , 1
Frequently asked questions
What does the Quadratic Equation Solver do?
Roots, discriminant and vertex of ax² + bx + c = 0. The Quadratic Equation Solver on OneCalcApp returns the result instantly as you type, together with the formula and the substituted values.
How do I use the Quadratic Equation Solver?
Enter your values in the input fields, choose the relevant units or options, and the Quadratic Equation Solver recalculates automatically. You can copy, print or export the result.
Is the Quadratic Equation Solver free to use?
Yes. The Quadratic Equation Solver is completely free, needs no sign-up and has no usage limit on OneCalcApp.
How accurate is the Quadratic Equation Solver?
It uses the standard formula x = (−b ± √(b² − 4ac)) / 2a and full double-precision arithmetic, so results match a manual calculation to the displayed number of digits.
Does the Quadratic Equation Solver work on mobile and offline?
Yes. The Quadratic Equation Solver runs entirely in your browser on phones, tablets and desktops, and your inputs never leave your device.
Where can I find related tools?
OneCalcApp hosts 300+ calculators and converters, including the full Math collection. Related tools are linked at the bottom of every page.
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