已知:a-1a=56,则a2+1a2=______.-数学

题目简介

已知:a-1a=56,则a2+1a2=______.-数学

题目详情

已知:a-
1
a
=
5
6
,则a2+
1
a2
=______.
题型:填空题难度:中档来源:不详

答案

a-class="stub"1
a
=class="stub"5
6

两边平方得:a2+class="stub"1
a2
-2=class="stub"25
36

则a2+class="stub"1
a2
=class="stub"25
36
+2=class="stub"97
36

故答案是:class="stub"97
36

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