令t=x-1/x
方程化为:t^2-2-2t=1
t^2-2t-3=0
(t-3)(t+1)=0
t=3,-1
t=3:x-1/x=3,x^2-3x-1=0,x=(3+√13)/2,(3-√13)/2
t=-1,x-1/x=-1,x^2+x-1=0,x=(-1+√5)/2,(-1-√5)/2