Solve ax² + bx + c = 0 with discriminant, step-by-step working, and final roots.
Enter numbers or fractions for a, b, and c.
Enter coefficients to see the discriminant, root type, step-by-step formula substitution, and final solution.
The discriminant decides whether the equation has two real roots, one repeated root, or complex roots.
This calculator solves equations in the form ax² + bx + c = 0 using the quadratic formula.
It accepts decimal values and simple fractions, then shows the discriminant, substitution steps, root type, and final roots.
The calculation runs directly in your browser without external service calls.
Solve quadratic equations with discriminant, step-by-step working, and real or complex roots directly in the browser.
This mathematics calculators page is designed for quick checks, planning, and everyday decision support without forcing users through a heavy workflow.
Enter the required values in the calculator above, review any optional settings, and run the calculation. Check the result summary and reset the form when you want to try a different scenario.
For important decisions, compare the output with your own records and professional guidance where needed.
For ax^2 + bx + c = 0, roots = (-b +/- sqrt(b^2 - 4ac)) / 2a.
Example: for x^2 - 5x + 6 = 0, the roots are 2 and 3.
Explore practical math utilities designed for quick checks, classroom support, and clean numerical workflows.
Last updated: May 10, 2026
Visible answers for users before they rely on a calculator result.
Yes. The Quadratic Formula Calculator is free to use in your browser.
No. Treat calculator output as an estimate and verify important finance, medical, tax, legal, or compliance decisions with a qualified professional.
Yes. The page is built to work on mobile, tablet, and desktop screens.