Quadratic Formula Calculator

What this calculator helps you do

The quadratic formula calculator helps solve equations in the form ax^2 + bx + c = 0. It is useful when factoring is difficult or when you want to verify classroom work quickly.

The formula behind the answer

The roots of a quadratic equation are found with x = (-b ± sqrt(b^2 - 4ac)) / 2a. The part under the square root is called the discriminant and tells you whether the roots are real, repeated, or complex.

Worked example

For x^2 - 5x + 6 = 0, the roots are 2 and 3. The calculator helps you confirm those values and inspect the discriminant when the roots are less obvious.

How to use the result

Use the roots to check graph intercepts, verify factorization, or continue solving a larger algebra problem.

Bottom line

This page is a quick way to solve or confirm quadratic equations while keeping the underlying formula visible.