Math

Quadratic Formula Calculator

Solve quadratic equations ax² + bx + c = 0 using the quadratic formula. Shows real and complex roots with discriminant analysis.

Using the Quadratic Formula Calculator

Solving quadratic equations (ax² + bx + c = 0) is easy with the quadratic formula. This tool calculates both real and complex roots, provides the discriminant to determine the nature of the roots, and shows the full step-by-step mathematical derivation.

How it Works

Enter the coefficients for a, b, and c.

Review the calculated Roots (x₁ and x₂).

Check the "Step-by-Step" working to see the formula application.

Review the "Discriminant" (b² - 4ac) to understand the root types.

Technical Formula


                        x = [-b ± √(b² - 4ac)] / 2a