X^2-3X+1=0
x²+1=3x
两边同除以x得:
x+1/x=3
(x+1/x)²=9
(x-1/x)²=(x+1/x)²-4=9-4=5
x-1/x=±√5
x²-1/x²=(x+1/x)(x-1/x)
=3*(±√5)
=±3√5