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已知a=根号5-根号3,求(2+1/a-1-1/a+1)÷(a+a/a²-1)的值
人气:459 ℃ 时间:2019-11-06 09:07:49
解答
[2+1/﹙a-1﹚-1/﹙a+1﹚]÷[a+a/﹙a²-1﹚]
=﹙2a²-2+a+1-a+1﹚÷﹙a³-a+a﹚
=2a²/a³
=2/a
=2/﹙√5-√3﹚
=2﹙√5+√3﹚/[﹙√5-√3﹚﹙√5+√3﹚]
=2﹙√5+√3﹚/2
=√5+√3
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