SOLUTION: Please solve 4-1/x=4x. How do we get the answer x=1/2?

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Question 12065: Please solve 4-1/x=4x. How do we get the answer x=1/2?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
4-%281%2Fx%29+=+4x we have a fraction. Get rid of this by multiplying both sides, ie every term by x... this gives:

4x+-+1+=+4x%5E2. Collect all terms to one side, to give

4x%5E2+-+4x+%2B+1+=+0. Now, hopefully factorise:

(2x-1)(2x-1) = 0

so we have 2x-1 = 0
--> 2x = 1
--> x = 1/2

jon.