原方程可变形为
(X-1/X)^2-3(X-1/X)+2=0
(X-1/X-1)(X-1/X-2)=0
所以有(X-1/X-1)=0或(X-1/X-2)=0
当(X-1/X-1)=0时,原方程两边乘以X,
得X^2-X-1=0,
X=1/2加减2分之根号5
当(X-1/X-2)=0时,原方程两边乘以X
得X^2-2X-1=0,
X=1加减根号2