令a=x/(x²+1)
a-1/a=3/2
2a²-3a-2=0
a=2,a=-1/2
x/(x²+1)=2
2x²-x+2=0
x=(1±i√15)/2
x/(x²+1)=-1/2
x²+2x+1=0
x=-1
所以x=(1-i√7)/2,x=(1+i√7)/2,x=-1