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

Toán Lớp 6: Tìm X. 1 + 4 + 7 + … + (3x + 1) = 1717

Toán Lớp 6: Tìm X.
1 + 4 + 7 + … + (3x + 1) = 1717

Comments ( 1 )

  1. Số số hạng của vế trái là :
    [(3x+1)-1]:3+1=3x :3+1=x+1 (số hạng)
    ⇒[ [(3x+1)+1]×(x+1)]/2=1717
    ⇒ (3x+2)(x+1)=1717×2
    ⇒ 3x^2+3x+2x+2=3434
    ⇒ 3x^2+5x+2-3434=0
    ⇒ 3x^2+5x-3432=0
    ⇒ (3x^2-99x)+(104x-3432)=0
    ⇒ 3x(x-33)+104(x-33)=0
    ⇒ (x-33)(3x+104)=0
    ⇒ \(\left[ \begin{array}{l}x-33=0\\3x+104=0\end{array} \right.\)
    ⇒ $\left[ \begin{array}{l}x=33\\x=\dfrac{-104}{33}\end{array} \right.$
    Vậy x ∈ {33;-104/33}

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