由X/Y=2Y/X-Y 怎么解得x=2y?

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由X/Y=2Y/X-Y 怎么解得x=2y?

X/Y=2Y/X-Y
两边乘Y(X-Y(
X²-XY=2Y²
X²-XY-2Y²=0
(X-2Y)(X+Y)=0
所以X=2Y或X=-Y

X/Y=2Y/X-Y
两边乘Y(X-Y(
X²-XY=2Y²
X²-XY-2Y²=0
(X-2Y)(X+Y)=0
所以X=2Y或X=-Y