x1^2+x1x2+x2^2
=(x1+x2)²-2x1x2+x1x2
=(x1+x2)²-x1x2
=p-q=3/2
1/x1^+1/x2^
=(x1^2+x2^2)/(x1x2)²
=[(x1+x2)²-2x1x2]/(x1x2)²
=(p-2q)/q²=5/2
两式联立,解得:
p=1/2 q=-1
或p=21/10 q=3/5
x1^2+x1x2+x2^2
=(x1+x2)²-2x1x2+x1x2
=(x1+x2)²-x1x2
=p-q=3/2
1/x1^+1/x2^
=(x1^2+x2^2)/(x1x2)²
=[(x1+x2)²-2x1x2]/(x1x2)²
=(p-2q)/q²=5/2
两式联立,解得:
p=1/2 q=-1
或p=21/10 q=3/5