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精英家教網 > 初中數學 > 題目詳情
Assume that the reciprocal of m+2 is
1
m
+2
,them the value of m2+
1
m2
 is ______.
(英漢詞典:to assume假設;reciprocal倒數;value值)
根據題意得,(m+2)×(
1
m
+2
)=1,
(1+2m)(m+2)=m,
m2+2m+1=0,
∴m=-1,
m2+
1
m2
=(-1)2+
1
(-1)2

=1+1
=2,
故答案為2.
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