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已知x2-4x+1=0,求x2/(x2)2-3x2+1
人气:322 ℃ 时间:2020-02-05 06:32:52
解答
x2-4x+1=0
两边同除以x
x-4+(1/x)=0
x+(1/x)=4
(x+(1/x))^2=4^2=16
x^2+(1/x^2)=16-2=14
x2/[(x2)2-3x2+1]
=1/[x^2-3+(1/x^2)]
=1/[(x^2+(1/x^2))-3]
=1/(14-3)
=1/11
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