Assumethatthereciprocalofm+2is1m+2,themthevalueofm2+1m2is______.(英汉词典:toassume假设;reciprocal倒数;value值

题目简介

Assumethatthereciprocalofm+2is1m+2,themthevalueofm2+1m2is______.(英汉词典:toassume假设;reciprocal倒数;value值

题目详情

Assume that the reciprocal of m+2 is
1
m
+2
,them the value of m2+
1
m2
 is ______.
(英汉词典:to assume假设;reciprocal倒数;value值)
题型:填空题难度:中档来源:不详

答案

根据题意得,(m+2)×( class="stub"1
m
+2
)=1,
(1+2m)(m+2)=m,
m2+2m+1=0,
∴m=-1,
m2+class="stub"1
m2
=(-1)2+class="stub"1
(-1)2

=1+1
=2,
故答案为2.

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