# How do you solve using the completing the square method x^2 - 18x = 19?

##### 1 Answer
Apr 14, 2016

$x = \left\{- 1 , 19\right\}$

#### Explanation:

${x}^{2} - 18 x = 19$

${x}^{2} - 18 x - 19 = 0$

$\left(x - 19\right) \left(x + 1\right) = 0$

$\mathmr{if} \left(x - 19\right) = 0 \text{ ; } x = 19$

$\mathmr{if} \left(x + 1\right) = 0 \text{ ; } x = - 1$

$x = \left\{- 1 , 19\right\}$