当3a²+ab-2b²=0求a/b-b/a-(a²+b²)/ab的值
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当3a²+ab-2b²=0求a/b-b/a-(a²+b²)/ab的值
当3a²+ab-2b²=0求a/b-b/a-(a²+b²)/ab的值
当3a²+ab-2b²=0求a/b-b/a-(a²+b²)/ab的值
3a²+ab-2b²=0
(3a-2b)(a+b)=0
可得:
3a=2b,则2b=3a,
a+b=0,则b=-a,
所以
a/b-b/a-(a²+b²)/ab
=a/b-b/a-a/b-b/a
=-2b/a
当2b=3a时,上式=-3;
当b=-a时,上式=2.
综上,a/b-b/a-(a²+b²)/ab值为-3和2.
先分解已知式,再代入