SOLUTION: (2x-5)^2= 81

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Question 538928: (2x-5)^2= 81
Answer by jim_thompson5910(35256) About Me  (Show Source):
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%282x-5%29%5E2=81 Start with the given equation.


2x-5=%22%22%2B-sqrt%2881%29 Take the square root of both sides.


2x-5=sqrt%2881%29 or 2x-5=-sqrt%2881%29 Break up the "plus/minus" to form two equations.


2x-5=9 or 2x-5=-9 Take the square root of 81 to get 9.


2x=5%2B9 or 2x=5-9 Add 5 to both sides.


2x=14 or 2x=-4 Combine like terms.


x=7 or x=-2 Divide both sides by 2 to isolate x.


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Answer:


So the solutions are x=7 or x=-2.


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