若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/22 06:31:57
若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+

若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.
若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.
若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.

若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.若x>0,y>0,且√x(√x+√y)=3√y(√x+5√y),求(2x+2√xy+3y)/(x-√xy+y)的值.
√x(√x+√y)=3√y(√x+5√y)
x+√xy = 3√xy+15y
x-2√xy-15y = 0
(√x+3√y)(√x-5√y) = 0
∵√x+3√y>0 ∴√x= 5√y
t=x/y = 25
(2x+2√xy+3y)/(x-√xy+y)
= (2t+2√t+3) / (t-√t+1)
= 38/21

答案明明是3啊

由√x(√x+√y)=3√y(√x+5√y),得x-2√xy-15y=0,得(√x+3√y)(√x-5√y)=0,x>0,y>0,所以)(√x-5√y)=0得x=25y,代入式中可求出。