SOLUTION: Ok here is my 3rd question for the day. Solve the equation: x^2-225=0 do i add 225 to both sides to start out? Thanks so much!!

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Question 111205This question is from textbook university of Phoenix Elementary and Intermediate Algebra
: Ok here is my 3rd question for the day.
Solve the equation:
x^2-225=0
do i add 225 to both sides to start out?
Thanks so much!! This question is from textbook university of Phoenix Elementary and Intermediate Algebra

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-225=0
:
Yes, adding 225 to both sides is the correct first step.
:
x%5E2=225
:
Then take the square root of both sides, remembering to consider both the positive and negative square roots.
:
x+=+15 or x+=+-15
:
There is another way to solve this one, and that is to recognize that you are dealing with the difference of two squares, i.e. a%5E2-b%5E2=%28a%2Bb%29%28a-b%29.
Hence: x%5E2-225=0
%28x%2B15%29%28x-15%29=0
Giving you the same result:
x+=+15 or x+=+-15