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## 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.