SOLUTION: Solve using the square root method. (2x-3)^2=9

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Question 782249: Solve using the square root method.
(2x-3)^2=9

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x-3%29%5E2=9 Start with the given equation.


2x-3=%22%22%2B-sqrt%289%29 Take the square root of both sides.


2x-3=sqrt%289%29 or 2x-3=-sqrt%289%29 Break up the "plus/minus" to form two equations.


2x-3=3 or 2x-3=-3 Take the square root of 9 to get 3.


2x=3%2B3 or 2x=3-3 Add 3 to both sides.


2x=6 or 2x=0 Combine like terms.


x=3 or x=0 Divide both sides by 2 to isolate x.


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Answer:


So the solutions are x=3 or x=0.