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  • 解方程1/(x+x﹚+1/(x+3x+2﹚+1/(x+5x+6﹚+1/(x+7x+12﹚=4/21得

    解方程1/(x+x﹚+1/(x+3x+2﹚+1/(x+5x+6﹚+1/(x+7x+12﹚=4/21得
    數(shù)學(xué)人氣:434 ℃時間:2019-10-17 08:16:43
    優(yōu)質(zhì)解答
    題目應(yīng)是 1/(x^2+x﹚+1/(x^2+3x+2﹚+1/(x^2+5x+6﹚+1/(x^2+7x+12﹚=4/21
    1/x(x+1﹚+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)=4/21
    1/x -1/(x+1﹚+1/(x+1) -1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3) -1/(x+4)=4/21
    1/x -1/(x+4)=4/21
    4/x(x+4)=4/21
    x^2+4x-21=0
    (x-3)(x+7)=0
    x=3 x=-7
    經(jīng)檢驗x=3或x=-7是方程的根
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