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

Toán Lớp 8: x+2011(1/2010+1/2009+1/2008)=x+2011(1/2007+1/2006+1/2005) giải pt

Toán Lớp 8: x+2011(1/2010+1/2009+1/2008)=x+2011(1/2007+1/2006+1/2005) giải pt

Comments ( 1 )

  1. $\\$
    (x+2011) (1/2010 + 1/2009 + 1/2008) = (x+2011) (1/2007 + 1/2006  + 1/2005)
    ⇔(x+2011)/2010 + (x+2011)/2009 + (x+2011)/2008=(x+2011)/2007 + (x+2011)/2006 + (x+2011)/2005
    ⇔ (x+2011)/2010 + (x+2011)/2009 + (x+2011)/2008 – (x+2011)/2007 – (x+2011)/2006 – (x+2011)/2005=0
    ⇔ (x+2011) (1/2010 + 1/2009 + 1/2008 – 1/2007 – 1/2006 – 1/2005)=0
    ⇔x+2011=0
    (Do 1/2010 + 1/2009 + 1/2008 – 1/2007 – 1/2006 – 1/2005 \ne 0)
    ⇔x=-2011
    Vậy pt có tập nghiệm : S={-2011}

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