Tìm x biết: x+4/2000+(x+3/2001)=x+2/2002+(x+1/2003)

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Tìm x biết: x+4/2000+(x+3/2001)=x+2/2002+(x+1/2003)

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Valentina 3 tháng 2021-09-17T01:46:36+00:00 2 Answers 34 views 0

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    0
    2021-09-17T01:48:05+00:00

    `#Dark`

    `(x+4)/2000+(x+3)/2001=(x+2)/2002+(x+1)/2003`

    `⇔((x+4)/2000+1)+((x+3)/2001+1)=((x+2)/2002+1)+((x+1)/2003+1)`

    `⇔(x+2004)/2000+(x+2004)/2001-(x+2004)/2002-(x+2004)/2003=0`

    `⇔(x+2004)(1/2000+1/2001+1/2002+1/2003)=0`

    Vì `(1/2000+1/2001+1/2002+1/2003) > 0`

    `⇔x+2004=0`

    `⇔x=-2004`

    Vậy `S={-2004}`

     

    0
    2021-09-17T01:48:27+00:00

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