x-1/x+2-x-1/x²-4=1-3/2-x

x-1/x+2-x-1/x²-4=1-3/2-x
x-1/x+2-x-1/x²-4=1-3/2-x

x-1/x+2-x-1/x²-4=1-3/2-x
两边乘以(x+2)(x-2)得
(x-1)(x-2) -(x-1)=(x+2)(x-2)+3(x+2)
x²-3x+2-x+1=x²-4+3x+6
-7x=-1
∴x=1/7
检验：x=1/7是方程的解