SOLUTION: the difference between a positive number and its reciprocal is 99/10. find the number.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: the difference between a positive number and its reciprocal is 99/10. find the number.       Log On


   

Question 392150: the difference between a positive number and its reciprocal is 99/10. find the number.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x+-+1%2Fx+=+99%2F10 <==> 10%28x%5E2+-+1%29+=+99x <==> 10x%5E2+-+99x+-+10+=+0
<==> (10x + 1)(x - 10) = 0.
==> x = -1/10, 10.
Therefore the final answer is 10.