SOLUTION: Solve for x: (2x-1)^1/2=sqrt3

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Question 130059: Solve for x:
(2x-1)^1/2=sqrt3
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
%282x+-+1%29%5E%281%2F2%29=sqrt%283%29
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One way of doing this problem begins by recognizing that sqrt%283%29 equals 3%5E%281%2F2%29
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So you can substitute 3%5E%281%2F2%29 in the original given equation to convert it to:
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%282x+-+1%29%5E%281%2F2%29=3%5E%281%2F2%29
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Since both sides of the equation are raised to the same exponent 1%2F2 for both sides to be
equal, the bases must be equal. Therefore 2x+-+1 must equal 3 which in equation form is:
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2x+-+1+=+3
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Get rid of the -1 on the left side by adding +1 to both sides to get:
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2x+=+4
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Solve for x by dividing both sides of this equation by 2 to get:
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x+=+2
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Hope this helps you to understand the problem.
.