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3a2+ab-2b2=0,求a/b-b/a-(a2+b2)/ab (a,b不等于0)
人气:158 ℃ 时间:2019-10-19 16:33:19
解答
3a^2+ab-2b^2=0
(a+b)(3a-2b)=0
a+b=0或3a-2b=0
a=-b或a=2/3b
a/b-b/a-(a^2+b^2)/ab
=(a^2-b^2)/ab-(a^2+b^2)/ab
=-2b^2/(ab)
=-2b/a
=-2b/(-b)=2

=-2b/(2/3b)
=-3
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