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

Toán Lớp 6: Tìm số nguyên x biết:(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+…+(x+99)=0 giúp mình nhé

Toán Lớp 6: Tìm số nguyên x biết:(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+…+(x+99)=0 giúp mình nhé

Comments ( 2 )

  1. Lời giải chi tiết:
    (x+1)+(x+2)+(x+3)+(x+4)+(x+5)+…+(x+99)=0
    =>(x+x+x+x+x+…+x)+(1+2+3+4+5+…+99)=0
    =>99.x+{(99+1).[(99-1):1+1]:2}=0
    =>99.x+(100.99:2)=0
    =>99.x+4950=0
    =>99.x=0-4950
    =>99.x=-4950
    =>x=-4950:99
    =>x=-50
    Vậy x=-50

  2. (x+1)+(x+2)+(x+3)+(x+4)+(x+5)+…+(x+99)=0
    ⇒x+1+x+2+x+3+x+4+x+5+…+x+99=0
    ⇒99x+(1+2+3+4+5+…+99)=0
    ⇒99x+{99(99+1)}/2=0
    ⇒99x+4950=0
    ⇒99x=-4950
    ⇒x=(-4950):99
    ⇒x=-50
    Vậy x=-50

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