How do I find the roots of a quadratic equation?

A quadratic equation is an equation of the form ax ^ 2 + bx + c = 0, where the coefficients a, b and c are arbitrary numbers, and a ≠ 0 otherwise it will no longer be a quadratic equation. Quadratic equations either have no roots, or have exactly one root, or two different roots. The first step is to look for the discriminant. Formula: D = b ^ 2 – 4ac. 1. If D <0, there are no roots; 2. If D = 0, there is exactly one root; 3. If D> 0, there will be two roots. The first option is clear, there are no roots. If the discriminant D> 0, the roots can be found as follows: x12 = (-b + – √D) / 2a. As for the second option, when D = 0, the upper formula can be used.