SOLUTION: Find the number such that when it is added to 3 and the sum halved, the result is the same as when 5 is divided by the number

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Question 890141: Find the number such that when it is added to 3 and the sum halved, the result is the same as when 5 is divided by the number
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B3%29%2F2+=+5%2Fx, from the statement of the problem.
==> x%5E2+%2B+3x+=+10 after cross multiplication
<==> x%5E2+%2B+3x+-+10+=+0
<==> %28x%2B5%29%28x-2%29+=+0, after factorization
==> x = -5, or 2
If only positive value is allowed, x = 2.