How do you solve (x - 13) ^ { 2} = 45?

2 Answers
Jun 17, 2018

x=+-sqrt(45) + 13

Explanation:

We want to find the value of x, so we try to isolate.
we can take the square root of both sides which removes the squared from the brackets.

sqrt((x-13)^2) = +-sqrt(45)
x-13 = +-sqrt(45)

Then we just add 13 to both sides and we are left with

x = +-sqrt(45) + 13

Jun 17, 2018

Take square root and rearrange to get the two answers

Explanation:

(x-13)^2=45

Take square root:
x-13=+-sqrt(45)=+-3sqrt(5)

x=13+-3sqrt(5)