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若x/(x^2-x+1)=4,求分式x^2/(x^4+x^2+1)的值
人气:433 ℃ 时间:2019-12-10 00:46:43
解答
∵x/(x^2-x+1)=4∴﹙x²-x+1﹚/x=1/4x+1/x=5/4x²+2+1/x²=25/16x²+1/x²=﹣7/16∵﹙ x^4+x²+1﹚/x²=x²+1/x²+1=﹣7/16+1=9/16∴ x²/﹙x^4+x²...
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