SOLUTION: (y+2/4)+ y-3/8= 1/y

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Question 1085706: (y+2/4)+ y-3/8= 1/y
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think this is what you mean.
%28y%2B2%29%2F4%2B+%28y-3%29%2F8=+1%2Fy
Multiply both sides by 8y.
2y%28y%2B2%29%2By%28y-3%29=8
2y%5E2%2B4y%2By%5E2-3y=8
3y%5E2%2By-8=0
3%28y%5E2%2B%281%2F3%29y%29-8=0
3%28y%5E2%2B%281%2F3%29y%2B%281%2F6%29%5E2%29-8=3%281%2F6%29%5E2
3%28y%2B1%2F6%29%5E2=3%2F36%2B8
3%28y%2B1%2F6%29%5E2=1%2F12%2B96%2F12
3%28y%2B1%2F6%29%5E2=97%2F12
%28y%2B1%2F6%29%5E2=97%2F36
y%2B1%2F6=0+%2B-+sqrt%2897%29%2F6
y=-1%2F6%2B-+sqrt%2897%29%2F6