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