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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: x +4/ 2004 + x+3/2009= x+2/2010+x+1/2011

Home/ Toán Lớp 7: x +4/ 2004 + x+3/2009= x+2/2010+x+1/2011

Toán Lớp 7: x +4/ 2004 + x+3/2009= x+2/2010+x+1/2011

Tháng Tám 15, 2022 Toán học 1 Comment 0 views

Toán Lớp 7: x +4/ 2004 + x+3/2009= x+2/2010+x+1/2011

Comments ( 1 )

  1. tongtung
    tongtung
    15 Tháng Tám, 2022 at 11:36 sáng
    Reply
    Giải đáp:
    x=-2012
    Lời giải và giải thích chi tiết:
     \frac{x+4}{2008}+\frac{x+3}{2009}=\frac{x+2}{2010}+\frac{x+1}{2011}
    ⇒ \frac{x+4}{2008}+1+\frac{x+3}{2009}+1=\frac{x+2}{2010}+1+\frac{x+1}{2011}+1
    ⇒\frac{x+2012}{2008}+\frac{x+2012}{2009}=\frac{x+2012}{2010}+\frac{x+2012}{2011}
    ⇒\frac{x+2012}{2008}+\frac{x+2012}{2009}-\frac{x+2012}{2010}-\frac{x+2012}{2011}=0
    ⇒(x+2012)(\frac{1}{2008}+\frac{1}{2009}-\frac{1}{2010}-\frac{1}{2011})=0
    Do \frac{1}{2008}+\frac{1}{2009}-\frac{1}{2010}-\frac{1}{2011} \ne 0
    ⇔x+2012=0
    ⇒x=-2012

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222-9+11+12:2*14+14 = ? ( )

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