SOLUTION: (4x-2)^2=8

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Question 250467: (4x-2)^2=8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x-2%29%5E2=8 Start with the given equation.


4x-2=%22%22%2B-sqrt%288%29 Take the square root of both sides.


4x-2=sqrt%288%29 or 4x-2=-sqrt%288%29 Break up the "plus/minus" to form two equations.


4x-2=2%2Asqrt%282%29 or 4x-2=-2%2Asqrt%282%29 Simplify the square root.


4x=2%2B2%2Asqrt%282%29 or 4x=2-2%2Asqrt%282%29 Add 2 to both sides.


x=%282%2B2%2Asqrt%282%29%29%2F4 or x=%282-2%2Asqrt%282%29%29%2F4 Divide both sides by 4.


x=%281%2Bsqrt%282%29%29%2F2 or x=%281-sqrt%282%29%29%2F2 Reduce.


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Answer:


So the solutions are x=%281%2Bsqrt%282%29%29%2F2 or x=%281-sqrt%282%29%29%2F2.