已知x²-5xy+6y²=0,那么x+y分之x-y等于多少

问题描述:

已知x²-5xy+6y²=0,那么x+y分之x-y等于多少

x²-5xy+6y²=0,
(x-3y)(x-2y)=0
x=3y或x=2y
(1)当x=3y
x+y分之x-y
=(3y-y)/(3y+y)
=1/2
(2)当x=2y
x+y分之x-y
=(2y-y)/(2y+y)
=1/3
所以:x+y分之x-y=1/2或1/3