Question

若a^2-2ab-3b^2=0,求a/b-b/a-(a^2+b^2)/ab的值

Answer 1

a^2-2ab-3b^2=0

(a-3b)(a+b)=0

a=3b 或 a=-b

当 a=3b时,a/b-b/a-(a^2+b^2)/ab＝-2/3

当 a=-b 时,a/b-b/a-(a^2+b^2)/ab＝2