
x+(1/x)=4则(x²/x四次方+x²+1)=多少
2个回答
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x+1/x=4
=>(x+1/x)^2=16
=>x^2+1/x^2=14
x^2/(x^4+x^2+1)
=1/(x^2+1/x^2+1)
=1/(14+1)
=1/15
=>(x+1/x)^2=16
=>x^2+1/x^2=14
x^2/(x^4+x^2+1)
=1/(x^2+1/x^2+1)
=1/(14+1)
=1/15
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