# How do you find the roots of x^2+5x-14=0?

May 30, 2016

$x = - 7$ or $x = 2$

#### Explanation:

Find a pair of factors of $14$ which differ by $5$.

The pair $7 , 2$ works, so we find:

$0 = {x}^{2} + 5 x - 14 = \left(x + 7\right) \left(x - 2\right)$

Hence roots $x = - 7$ and $x = 2$