Quadratic Formula Calculator

How this calculator works

For ax² + bx + c = 0, the solutions are x = (−b ± √(b² − 4ac)) / 2a. The discriminant determines whether the roots are two real values, one repeated value, or a complex pair.

When to use it

Use this calculator to check homework, verify a manual calculation, compare examples, and explore how changing each input affects the result. Enter all measurements in compatible units and interpret the answer within the context of your problem.

Formula and examples

For ax² + bx + c = 0, the solutions are x = (−b ± √(b² − 4ac)) / 2a. The discriminant determines whether the roots are two real values, one repeated value, or a complex pair.