已知X^2-Y^2/XY=3/2求X^2+Y^2/XY的值

问题描述:

已知X^2-Y^2/XY=3/2求X^2+Y^2/XY的值

X^2-Y^2/XY=3/2
2x^2-3xy-2y^2=0
(2x+y)(x-2y)=0
2x+y=0或x-2y=0
1)2x+y=0,y=-2x
X^2+Y^2/XY=-5/2
2)x-2y=0,x=2y
X^2+Y^2/XY=5/2
总上:
X^2+Y^2/XY的值5/2或-5/2