已知(x+y)/(x-y)=3/2,则(x²+y²)/xy =

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已知(x+y)/(x-y)=3/2,则(x²+y²)/xy =

已知(x+y)/(x-y)=3/2,则(x²+y²)/xy =
已知(x+y)/(x-y)=3/2,则(x²+y²)/xy =

已知(x+y)/(x-y)=3/2,则(x²+y²)/xy =
(x+y)/(x-y)=3/2
2(x+y)=3(x-y)
2x+2y=3x-3y
x=5y
(x²+y²)/xy
=(25y²+y²)÷(5y²)
=26/5

答:(x+y)/(x-y)=3/2
2x+2y=3x-3y
3x-2x=2y+3y
x=5y
所以:(x²+y²)/(xy)
=(25y²+y²)/(5y²)
=26/5

(x+y)/(x-y)=3/2得x=-5y,
(x²+y²)/xy =26y^2/-5y^2=-26/5

2x+2y=3x-3y
x=5y
带入得26/5