Quadratic Formula Calculator

Solve quadratic equations from coefficients and get real or complex roots from standard form.

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Input

Enter the coefficients from standard-form quadratic equation ax² + bx + c = 0, and the calculator will solve for the roots. You will see the result first and the step-by-step solution below.

Input summary

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Step by Step Calculation

ax²

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Calculate first and the full working will appear below automatically.

How to use Quadratic Formula Calculator

Type the values of a, b, and c from the quadratic equation, and the calculator will apply the quadratic formula automatically.

What this calculator is for

This calculator is for algebra problems, graphing prep, and equation solving when you need the roots of a quadratic and want to avoid arithmetic slips in the formula.

Tips

Make sure the equation is rearranged into ax² + bx + c = 0 before entering coefficients.
Do not leave out a negative sign when copying b or c.
If the discriminant is negative, expect complex roots rather than real intercepts.