Question 112074


*[Tex \LARGE (x-5)^2=27] Start with the given equation




*[Tex \LARGE x-5=\pm sqrt{27}] Take the square root of both sides





*[Tex \LARGE x-5=\pm 3sqrt{3}] Simplify the square root (note: If you need help with simplifying the square root, check out this <a href=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)




*[Tex \LARGE x=5\pm 3sqrt{3}] Add 5 to both sides to isolate x.




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Answer:


So our solution is:

*[Tex \LARGE x=5\pm 3sqrt{3}]



This means our solution breaks down to:


*[Tex \LARGE x=5+3sqrt{3}]


or


*[Tex \LARGE x=5-3sqrt{3}]