已知√X(√X+2√Y)=√Y(6√X+5√Y),

问题描述:

已知√X(√X+2√Y)=√Y(6√X+5√Y),
求(X+√(XY)-Y)/(2X+√(xy)+3Y)的值
思路也可以,总之要让人明白,

√x(√x+2√y)=√y(6√x+5√y),
x+2√xy)=6√xy+5y,
x-4√xy-5y=0,
(√x-5√y)(√x+√y)=0
√x=5√y,(√x=-√y舍去)
(x+√xy-y)/(2x+√xy+3y)
=(25Y+5Y-Y)/(50Y+5Y+3Y)
=1/2
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