SOLUTION: I don't believe I'm doing this one right and would like someone to walk through it with me to get the right answer. Question: (x-5)^2=11 Here's my work 5^2=25 6^2=36 36-25=11

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: I don't believe I'm doing this one right and would like someone to walk through it with me to get the right answer. Question: (x-5)^2=11 Here's my work 5^2=25 6^2=36 36-25=11      Log On

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Question 317814: I don't believe I'm doing this one right and would like someone to walk through it with me to get the right answer.
Question:
(x-5)^2=11
Here's my work
5^2=25
6^2=36
36-25=11
Is that right or is there a different answer all together?
Answer by jim_thompson5910(28504) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-5%29%5E2=11 Start with the given equation.


x-5=%27%27%2B-sqrt%2811%29 Take the square root of both sides.


x-5=sqrt%2811%29 or x-5=-sqrt%2811%29 Break up the "plus/minus" to form two equations.


x-5=sqrt%2811%29 or x-5=-sqrt%2811%29 Simplify the square root.


x=5%2Bsqrt%2811%29 or x=5-sqrt%2811%29 Add 5 to both sides.


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Answer:


So the solutions are x=5%2Bsqrt%2811%29 or x=5-sqrt%2811%29.