已知2x²+3xy-2y²=0(xy≠0),求(x+y)/(x-y)的值
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已知2x²+3xy-2y²=0(xy≠0),求(x+y)/(x-y)的值
![已知2x²+3xy-2y²=0(xy≠0),求(x+y)/(x-y)的值](/uploads/image/z/1353404-20-4.jpg?t=%E5%B7%B2%E7%9F%A52x%26%23178%3B%2B3xy-2y%26%23178%3B%3D0%28xy%E2%89%A00%29%2C%E6%B1%82%28x%2By%29%2F%28x-y%29%E7%9A%84%E5%80%BC)
2x²+3xy-2y²=0
(2x-y)(x+2y)=0
y=2x,x=-2y
当y=2x时,
(x+y)/(x-y)
=(x+2x)/(x-2x)
=-3
当x=-2y时,
(x+y)/(x-y)
=(-2y+y)/(-2y-y)
=1/3
(2x-y)(x+2y)=0
y=2x,x=-2y
当y=2x时,
(x+y)/(x-y)
=(x+2x)/(x-2x)
=-3
当x=-2y时,
(x+y)/(x-y)
=(-2y+y)/(-2y-y)
=1/3
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