Quadratic formula

The quadratic formula is used to simplify the process of solving a quadratic equation. It is in the following form:

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

In order to be solved using this formula, a quadratic equation must be in the following format:

$ax^{2}+bx+c=0\!$

You simply substitute $a$, $b$, and $c$ in the formula.

You can prove that the formula is correct by substituting the formula in place of x in $ax^{2}+bx+c=0\!$ and then gradually simplying the rather complicated formula that results, step by step. Eventually, if all the simplication steps are done correctly, it will simply to 0.