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X^2-3X+1=0
X-3+1/X=0
X+1/X=3
(X+1/X)^2=9
X^2+1/X^2+2=9
X^2+1/X^2=7
X^2/(X^4+X^2+1)
=1/(X^2+1+1/X^2)
=1/(X^2+1/X^2+1)
=1/(7+1)
=1/8
X^2-3X+1=0
X={-3±根号(3^2-4)}/2={-3±根号5}/2
X^2= { (-3±根号5)/2}^2=（7±3根号5)/2
X^4+X^2+1=X^2(X^2+1+1/X^2)=X^2(X^2+1/X^2+1)=X^2(7+1)=8X^2=4(7±3根号5)
X-3+1/X=0
X+1/X=3
(X+1/X)^2=9
X^2+1/X^2+2=9
X^2+1/X^2=7
X^2/(X^4+X^2+1)
=1/(X^2+1+1/X^2)
=1/(X^2+1/X^2+1)
=1/(7+1)
=1/8
X^2-3X+1=0
X={-3±根号(3^2-4)}/2={-3±根号5}/2
X^2= { (-3±根号5)/2}^2=（7±3根号5)/2
X^4+X^2+1=X^2(X^2+1+1/X^2)=X^2(X^2+1/X^2+1)=X^2(7+1)=8X^2=4(7±3根号5)
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