根号X(根号X-根号Y)=3根号Y(5根号Y-根号X),求(2X-根号XY+3Y)/X+根号XY-6Y

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根号X(根号X-根号Y)=3根号Y(5根号Y-根号X),求(2X-根号XY+3Y)/X+根号XY-6Y
根号X(根号X-根号Y)=3根号Y(5根号Y-根号X),求(2X-根号XY+3Y)/X+根号XY-6Y

根号X(根号X-根号Y)=3根号Y(5根号Y-根号X),求(2X-根号XY+3Y)/X+根号XY-6Y
√x(√x-√y)=3√y(5√y-√x)
(√x)^2- √xy =15(√y)^2 -3√xy
(√x)^2+2√xy -15(√y)^2 =0
因式分解得:(√x+5√y)(√x- 3√y)=0
所以:√x+5√y= 0 或√x- 3√y = 0
(1)当√x+5√y= 0时,x=0,y=0
(2x-√xy+3y)/(x+√xy-6y)无意义.
(2)当√x- 3√y = 0时,得x=9y
(2x-√xy+3y)/(x+√xy-6y)
=3

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