SOLUTION: How do you complete the following: Solve (x-4)^2=25 Thank you in advance for your assistance and time.

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Question 89112: How do you complete the following:
Solve (x-4)^2=25
Thank you in advance for your assistance and time.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-4%29%5E2=25

x-4=sqrt%2825%29 Take the square root of both sides

Take the square root of 25

So the expression breaks down to
x-4=5 or x-4=-5

Lets look at the first equation x-4=5
x=4%2B5 Add 4 to both sides

x=9 Combine like terms


Now lets look at the first equation x-4=-5
x=4-5 Add 4 to both sides

x=-1 Combine like terms
So we get 2 answers x=-1 and x=9


Check:
%28-1-4%29%5E2=25 plug in x=-1

%28-5%29%5E2=25

25=25 works


%289-4%29%5E2=25 plug in x=9

%285%29%5E2=25

25=25 works