SOLUTION: How do you solve (x-1/2)^2=3/2 ?

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Question 398591: How do you solve (x-1/2)^2=3/2 ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-1%2F2%29%5E2=3%2F2 Start with the given equation.


x-1%2F2=%22%22%2B-sqrt%283%2F2%29 Take the square root of both sides.


x-1%2F2=sqrt%283%2F2%29 or x-1%2F2=-sqrt%283%2F2%29 Break up the "plus/minus" to form two equations.


x-1%2F2=sqrt%286%29%2F2 or x-1%2F2=-sqrt%286%29%2F2 Simplify the square root.


x=1%2F2%2Bsqrt%286%29%2F2 or x=1%2F2-sqrt%286%29%2F2 Add 1%2F2 to both sides.


x=%281%2Bsqrt%286%29%29%2F%282%29 or x=%281-sqrt%286%29%29%2F%282%29 Combine the fractions.


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Answer:


So the solutions are x=%281%2Bsqrt%286%29%29%2F%282%29 or x=%281-sqrt%286%29%29%2F%282%29.

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

Also, feel free to check out my tutoring website

Jim