已知x>0,y>0,且x-2√xy-15y=0,求(2x+√xy+3y)÷(x+√xy-y)的值

问题描述:

已知x>0,y>0,且x-2√xy-15y=0,求(2x+√xy+3y)÷(x+√xy-y)的值
求过程~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1个回答 分类:数学 2014-12-10

问题解答:

我来补答
x-2√xy-15y=0
(√x)²-2√xy-15(√y)²=
(√x+3√y)(√x-5√y)=0
∴√x=5√y
x=25y
(2x+√xy+3y)÷(x+√xy-y)
=(50y+5y+3y)÷(25y+5y-y)
=2
 
 
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