3a^2+ab-2b^2=0
==> (3a-2b)(a+b)=0
==> a+b=0 或3a-2b=0
==> a=-b 或 -2b=3a ①
又因为
a/b-b/a-(a^2+b^2)/ab
= (a^2-b^2)/ab-(a^2+b^2)/ab
= -2b^2/ab
= -2b/a
将①带入得 结果为2或3
3a^2+ab-2b^2=0
==> (3a-2b)(a+b)=0
==> a+b=0 或3a-2b=0
==> a=-b 或 -2b=3a ①
又因为
a/b-b/a-(a^2+b^2)/ab
= (a^2-b^2)/ab-(a^2+b^2)/ab
= -2b^2/ab
= -2b/a
将①带入得 结果为2或3