若X+1/X=3则X^2/X^4+X^2+1=____
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若X+1/X=3则X^2/X^4+X^2+1=____
![若X+1/X=3则X^2/X^4+X^2+1=____](/uploads/image/z/6768655-7-5.jpg?t=%E8%8B%A5X%2B1%2FX%EF%BC%9D3%E5%88%99X%EF%BC%BE2%2FX%EF%BC%BE4%2BX%EF%BC%BE2%2B1%EF%BC%9D%EF%BC%BF%EF%BC%BF%EF%BC%BF%EF%BC%BF)
x+1/x=3,两边平方,
x^2+1/x^2+2=9
x^2+1/x^2=7
(x^4+x^2+1)/x^2=x^2+1+1/x^2=7+1=8
x^2/(x^4+x^2+1) = 1 / [(x^4+x^2+1)/x^2] = 1/8
x^2+1/x^2+2=9
x^2+1/x^2=7
(x^4+x^2+1)/x^2=x^2+1+1/x^2=7+1=8
x^2/(x^4+x^2+1) = 1 / [(x^4+x^2+1)/x^2] = 1/8
若X+1/X=3则X^2/X^4+X^2+1=____
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