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若x/(x^2-x-1)=1/2,则分式x^2/(x^4+x^2+1)的值为() A.1/12 B.12 C.8 D.1/8
人气:488 ℃ 时间:2020-07-03 05:38:20
解答
x/(x^2-x-1)=1/22x=x²-x-1x²-3x-1=0除以x得x-3-1/x=0x-1/x=3(x^4+x^2+1)÷x²=x²+1+1/x²=x²-2+1/x²+3=(x-1/x)²+3=3²+3=12∴x^2/(x^4+x^2+1)=1/12选A
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