
已知x²-6xy+8y²=0,求(2x+y)/(x-3y)的值?
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x^2-6xy+8y^2=0
(x-2y)(x-4y)=0
x=2y或x=4y
(1)若x=2y
(2x+y)/(x-3y)=(4y+y)/(2y-3y)=-5
(2)若x=4y
(2x+y)/(x-3y)=(8y+y)/(4y-3y)=9
所以(2x+y)/(x-3y)=-5或9
(x-2y)(x-4y)=0
x=2y或x=4y
(1)若x=2y
(2x+y)/(x-3y)=(4y+y)/(2y-3y)=-5
(2)若x=4y
(2x+y)/(x-3y)=(8y+y)/(4y-3y)=9
所以(2x+y)/(x-3y)=-5或9
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