x1+x2=-5/2,x1x2=-3/2.则(x1+x2)²=25/4,即x1²+x2²+2x1x2=25/4,所以x1²+x2²=25/4+3=37/4.
(1/x1²)+(1/x2²)=[x1²+x2²]/(x1x2)²=[37/4]/(9/4)=37/9.
故(1/x1²)+(1/x2²)=37/9.