# How do you solve #(x - 5)^2 = 2#?

##### 1 Answer

Apr 28, 2017

#x = sqrt(2) + 5#

#### Explanation:

To isolate the

#(x-5)^2 = 2#

#sqrt((x-5)^2) = sqrt(2)#

The square root and power on the left term cancel out, leaving us with:

#x-5 = sqrt(2)#

To finish isolating the x, add

#x cancel(-5+5) = sqrt(2) + 5#

Final answer:

#x = sqrt(2) + 5#