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  • 已知x2-4x+1=0,求x2/(x-1)-(1+1/(x2-x))的值

    已知x2-4x+1=0,求x2/(x-1)-(1+1/(x2-x))的值
    數(shù)學(xué)人氣:880 ℃時(shí)間:2020-02-05 22:01:44
    優(yōu)質(zhì)解答
    x2-4x+1=0
    x2+1=4x
    x2/(x-1)-(1+1/(x2-x))
    =x^2/(x-1)-(x^2-x+1)/(x^2-x)
    =x^2/(x-1)-(4x-x)/(x^2-x)
    =x^3-3x/(x^2-x)
    =x(x^2-3)/x(x-1)
    =(4x-1-3)/(x-1)
    =4(x-1)/(x-1)
    =4
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