Quadratic Formula – x = (−b ± √(b²−4ac)) / 2a

The quadratic formula x = (−b ± √(b²−4ac)) / 2a is the universal solution for any quadratic equation in the form ax² + bx + c = 0. Unlike factoring or completing the square, the quadratic formula always works — even when a quadratic cannot be factored over the integers. It is one of the most important algebraic tools in mathematics, used from basic algebra to advanced physics and engineering.

CalcPlanet – Free Online Calculators

725+ free calculators and 108 tools for math, money, health, and everyday life. Instant results, verified formulas, no sign-up.

· Reviewed against our Editorial Standards and Formula Sources.

CalcPlanet calculators are free, privacy-first, and formula-reviewed.

Editorial Standards · Formula Sources · Privacy · Terms · Contact