SOLUTION: calculate the values for x/y, if: x/y+y/x=17/4

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Question 859792: calculate the values for x/y, if: x/y+y/x=17/4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A=x%2Fy
A%2B1%2FA=17%2F4
A%5E2%2B1=%2817%2F4%29A
4A2%2B4=17A
4A%5E2-17A%2B4=0
%284A-4%29%28A-1%29=0
Two solutions:
4A-1=0
4A=1
A=1%2F4
x%2Fy=1%2F4
and
A-1=0
A=1
x%2Fy=1