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Quadratic Formula Calculator

Quadratic formula calculator for solving ax² + bx + c = 0 and showing both roots.

Algebra Fast Calculation Clear Working

Quadratic Formula Calculator

Enter a, b, and c to solve the quadratic equation and see the roots instantly.

Result

0

Ready to calculate

Working

Formula

Roots are calculated with the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.

Use Case

Useful for algebra practice, exams, and equation solving.

Tip

If the discriminant is negative, the page will indicate no real roots.

Quadratic Formula Calculator Guide

Solve quadratic equations by entering the coefficients a, b, and c.

How the Formula Works

For an equation in the form ax squared plus bx plus c equals zero, the quadratic formula solves for x using the coefficients a, b, and c. The discriminant (b squared minus 4ac) tells you whether the equation has two real solutions, one real solution, or two complex solutions.

Common Uses

Standard tool for algebra coursework and any problem that reduces to a quadratic equation, such as projectile motion or area optimization problems.

Important Note

The result displays real roots when the discriminant is zero or positive.

How this calculator is prepared

Method

The formula and result panel are kept visible so students can compare the input, operation, and output.

Updated

Last reviewed on April 20, 2026 for page text, labels, and calculator behavior.

Use

Use the result for study checks, then apply your course or exam rounding rule before final submission.