如果x/(x^2+1)=1/3,求x^2/(x^4-x^2+1)的值

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如果x/(x^2+1)=1/3,求x^2/(x^4-x^2+1)的值
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如果x/(x^2+1)=1/3,求x^2/(x^4-x^2+1)的值
如果x/(x^2+1)=1/3,求x^2/(x^4-x^2+1)的值

如果x/(x^2+1)=1/3,求x^2/(x^4-x^2+1)的值
x/(x^2+1)=1/3
x^2+1=3x
两边平方
x^4+2x^2+1=9x^2
两边减去3x^2
x^4-x^2+1=6x^2
所以x^2/(x^4-x^2+1)=1/6