Questions on Algebra: Proportions answered by real tutors!

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Question 141970: x/5 = 9/10 - 1/x: x/5 = 9/10 - 1/x
Answer by checkley77(3639) About Me  (Show Source):
You can put this solution on YOUR website!
x/5=9/10-1/x
x/5+1/x=9/10
(x^2+5)/5x=9/10
10(x^2+5)=9*5x
10x^2+50=45x
10x^2-45x+50=0
5(2x^2-9x+10)=0
2(x-2)(2x-5)=0
x-2=0
x=2 answer.
2x-5=0
2x=5
x=5/2
x=2.5 answer.