1/x+1/y=5,求2x-3xy+2y/x²+xy+y的值

问题描述:

1/x+1/y=5,求2x-3xy+2y/x²+xy+y的值

1/x+1/y=5
(y+x)/xy=5
x+y=5xy
2x-3xy+2y/x+xy+y
=2(x+y)-3xy/(x+y)+xy
=10xy-3xy/5xy+xy
=7xy/6xy
=7/6
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