已知x满足x+1x=36,则x2+1x2的值为______.-数学

题目简介

已知x满足x+1x=36,则x2+1x2的值为______.-数学

题目详情

已知x满足x+
1
x
=3
6
,则x2+
1
x2
的值为______.
题型:填空题难度:中档来源:不详

答案

x+class="stub"1
x
=3
6

∴两边平方得:(x+class="stub"1
x
)2=(3
6
)2,
x2+2+class="stub"1
x2
=54,
x2+class="stub"1
x2
=52,
故答案为:52.

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