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若2X方+3xy-2y方=0(Xy≠0),则(X+y)/(x-y)=__

题目详情
若2X方+3xy-2y方=0(Xy≠0),则(X+y)/(x-y)=__
▼优质解答
答案和解析
2X方+3xy-2y方=0
(2x-y)(x+2y)=0
2x=y或x=-2y
2x=y时,(X+y)/(x-y)=3x/-x=-3
x=-2y时,(X+y)/(x-y)=-y/-3y=1/3