SOLUTION: (2x-1)^2+5=14 solve for x. show all work. (2,-1) But how do I get to that?

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Question 349000: (2x-1)^2+5=14
solve for x. show all work.
(2,-1)
But how do I get to that?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x-1%29%5E2%2B5=14 Start with the given equation.


%282x-1%29%5E2=14-5Subtract 5 from both sides.


%282x-1%29%5E2=9 Combine like terms.


2x-1=%22%22%2B-sqrt%289%29 Take the square root of both sides.


2x-1=sqrt%289%29 or 2x-1=-sqrt%289%29 Break up the "plus/minus" to form two equations.


2x-1=3 or 2x-1=-3 Take the square root of 9 to get 3.


2x=1%2B3 or 2x=1-3 Add 1 to both sides.


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


x=2 or x=-1 Divide both sides by 2 to isolate x.


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Answer:


So the solutions are x=2 or x=-1.


You can also represent the solutions as the solution set {2, -1}


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim