Quadratic Formula

In algebra, the quadratic formula gives the solutions of the general quadratic equation. Given a second-degree polynomial of the form $ax^{2}+bx+c=0$, the values of x satisfying this equation are given by the quadratic formula.

The formula is expressed as:

$$x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}$$

The quantity under the square root, $b^{2}-4ac$, is known as the discriminant. Its value determines the nature of the solutions.