# How do you solve using the completing the square method x^2 - 12x + 36 = 25 ?

Mar 4, 2016

The solutions are:
color(blue)(x=11

color(blue)(x=1

#### Explanation:

${x}^{2} - 12 x + 36 = 25$

Using the Identity color(blue)((a-b)^2 = a^2 - 2ab + b^2, we get
${\left(x - 6\right)}^{2} = 25$

$\left(x - 6\right) = \pm \sqrt{25}$

1. $\left(x - 6\right) = + 5$
$x = 5 + 6$
color(blue)(x=11

2. $\left(x - 6\right) = - 5$
$x = - 5 + 6$
color(blue)(x=1