> 数学 >
已知m2-5m-1=0,则2m2−5m+
1
m2
=______.
人气:438 ℃ 时间:2020-01-27 10:22:01
解答
∵m2-5m-1=0,
两边同时除以m得,m-
1
m
=5,
两边平方,得:
m2-2m•
1
m
+
1
m2
=25,
∴m2+
1
m2
=27,
∵2m2-5m+
1
m2
=m2-5m+m2+
1
m2

=1+27,
=28.
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