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  • 1.﹛x-2-[12/(x+2)]﹜÷(4-x)/(x+2) 2.解方程3/(x-1)-(x+3)/(x²-1)=0

    1.﹛x-2-[12/(x+2)]﹜÷(4-x)/(x+2) 2.解方程3/(x-1)-(x+3)/(x²-1)=0
    數(shù)學(xué)人氣:806 ℃時(shí)間:2020-05-13 00:40:23
    優(yōu)質(zhì)解答
    (1)
    ﹛x-2-[12/(x+2)]﹜÷(4-x)/(x+2)
    =[x-2-12/(x+2)]÷[(4-x)/(x+2)]
    ={ [(x-2)(x+2)-12]/(x+2) }×[(x+2)/(4-x)]
    =[(x²-4-12)/(x+2)]×[-(x+2)/(x-4)]
    =(x²-16)×[-1/(x-4)]
    =(x+4)(x-4)×[-1/(x-4)]
    =-(x+4)
    =-x-4
    (2)
    3/(x-1)-(x+3)/(x^2-1)=0
    3(x+1)/(x-1)(x+1)-(x+3)/(x-1)(x+1)=0
    [3(x+1)-(x+3)]/(x-1)(x+1)=0
    (3x+3-x-3)/(x-1)(x+1)=0
    2x/(x-1)(x+1)=0
    2x=0
    x=0
    經(jīng)檢驗(yàn)x=0是方程的解
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