> 数学 >
已知
x
x2-x+1
=7,则
x2
x4+x2+1
= ___ .
人气:467 ℃ 时间:2020-05-19 01:52:20
解答
由题意得:
x2-x+1
x
=
1
7
,即x+
1
x
=
8
7

x4+x2+1
x2
=x2+
1
x2
+1=(x+
1
x
)
2
-2+1=
15
49

其倒数
x2
x4+x2+1
=
49
15

故答案为:
49
15
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