# How do you solve using the completing the square method x^2 - 4x =12 ?

Apr 10, 2018

$y = {\left(x - 2\right)}^{2} - 16$

#### Explanation:

First set the equation equal to 0

${x}^{2} - 4 x - 12 = 0$

Now complete the square

$\left[{x}^{2} - 4 x\right] - 12$
$\left[{\left(x - 2\right)}^{2} - 4\right] - 12$
${\left(x - 2\right)}^{2} - 4 - 12$
${\left(x - 2\right)}^{2} - 16$