The quadratic formula is x = (-b ± √(b² - 4ac)) / 2a. It solves any quadratic equation of the form ax² + bx + c = 0, where a ≠ 0. Enter your coefficients above to get a step-by-step solution showing the discriminant, roots, and vertex.
Use the quadratic formula when factoring is difficult or impossible. It works for every quadratic equation, including those with irrational or complex roots.