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  • 計算(3-x)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)

    計算(3-x)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
    數(shù)學(xué)人氣:962 ℃時間:2020-01-31 12:54:23
    優(yōu)質(zhì)解答
    (3-x)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
    (1-x+2)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
    1+2/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
    2/(1-x)+(x^2-2)/(x^2-8x+7)=(5-x)/(7-x)
    2/(1-x)+(x^2-2)/(x^2-8x+7)-(5-x)/(7-x)=0
    -2/(x-1)+(x^2-2)/(x^2-8x+7)-(x-5)/(x-7)=0
    (x^2-2)/(x^2-8x+7)-2/(x-1)-(x-5)/(x-7)=0
    (x^2-2)/(x-7)(x-1)-2(x-7)/(x-7)(x-1)-(x-5)(x-1)/(x-1)(x-7)=0
    [(x^2-2)-2(x-7)-(x-5)(x-1)]/(x-1)(x-7)=0
    [x^2-2-2x+14-(x^2-6x+5)]/(x-1)(x-7)=0
    [x^2-2-2x+14-x^2+6x-5)/(x-1)(x-7)=0
    (4x+7)/(x-1)(x-7)=0
    4x+7=0
    x=-7/4
    經(jīng)檢驗x=-7/4是方程的解
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