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

Toán Lớp 7: câu 1 x=1/2013.2012-1/2012.2011-1/2011.2010–..-1/3.2-1/2.1 câu 2 x-20/11.13-20/13.15 -1/15.17–.-20/53.55=-3/11

Toán Lớp 7: câu 1 x=1/2013.2012-1/2012.2011-1/2011.2010-……-1/3.2-1/2.1
câu 2 x-20/11.13-20/13.15 -1/15.17-…..-20/53.55=-3/11

Comments ( 2 )

  1. $\\$
    Bạn tham khảo bài.
    Câu 1.
    x=1/(2013.2012)-1/(2012.2011)-…-1/(3.2)-1/(2.1)
    ->x=1/(2013.2012)-(1/(1.2)+1/(2.3)+…+1/(2011.2012))
    ->x=1/(2013.2012)-(1-1/2+1/2-1/3+…+1/2011-1/2012)
    ->x=1/(2013.2012)-(1 – 1/2012)
    ->x = 1/(2013 . 2012) – 2011/2012
    ->x=1/(2013.2012)-(2013.2011)/(2013.2012)
    ->x=(1 – 2013.2011)/(2013.2012)
    Vậy x=(1 – 2013.2011)/(2013.2012)
    Câu 2.
    x-20/(11.13)-… – 20/(53.55)=(-3)/11
    ->x-(20/(11.13)+…+20/(53.55))=(-3)/11
    ->x-20 (1/(11.13)+…+1/(53.55))=(-3)/11
    ->x – 20 . 1/2 . (1/11-1/13+…+1/53-1/55)=(-3)/11
    ->x – 10 . (1/11-1/55)=(-3)/11
    ->x-10 . 4/55=(-3)/11
    ->x-8/11=(-3)/11
    ->x=5/11
    Vậy x=5/11

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    1.
    x =1/{2013·2012}-1/{2012·2011}-1/{2011·2010}-……-1/{3·2}-1/{2·1}
    x = 1/{2013·2012} – (1/{1·2}+1/{2·3}+…+1/{2010·2011}+1/{2011·2012})
    x = 1/{2013·2012} – (1 – 1/2+ 1/2 – 1/3 +…+ 1/2010 – 1/2011 + 1/2011 – 1/2012)
    x = 1/{2013·2012} – 2011/2012
    x = 1/{2013·2012 } – {2011 · 2013}/{2012·2013}
    x = -{2011 · 2013 + 1}/{2012·2013}
    2.
    x-20/11.13-20/13.15 -1/15.17-…..-20/53.55=-3/11
    x – (20/11.13-20/13.15 -1/15.17-…..-20/53.55) =-3/11
    x – 10(1/11 – 1/13 + 1/13 – 1/15 + 1/15 – 1/17 +…+ 1/53 – 1/55) =-3/11
    x – 10(1/11 – 1/55) =-3/11
    x – 8/11 = -3/11
    x = -3/11 + 8/11
    x = 5/11

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