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

Toán Lớp 8: Tìm x: (x + 1)^3 – (x – 1) (x^2 + x + 1) – 2 = 0

Toán Lớp 8: Tìm x:
(x + 1)^3 – (x – 1) (x^2 + x + 1) – 2 = 0

Comments ( 2 )

  1. (x+1)^3-(x-1)(x^2+x+1)-2=0
    ⇔x^3+3x^2+3x+1-(x^3-1^3)-2=0
    ⇔x^3+3x^2+3x+1-x^3+1-2=0
    ⇔(x^3-x^3)+3x^3+3x+(1+1-2)=0
    ⇔3x(x+1)=0
    ⇔x=0
    x+1=0⇔x=-1
    Vậy x={0,-1}
     

  2. Giải đáp+Lời giải và giải thích chi tiết:
    (x+1)^3-(x-1)(x^2+x+1)-2=0
    ⇔x^3+3x^2+3x+1-(x^3-1)-2=0
    ⇔x^3+3x^2+3x+1-x^3+1-2=0
    ⇔(x^3-x^3)+3x^2+3x+(1+1-2)=0
    ⇔3x^2+3x=0
    ⇔3x(x+1)=0
    $⇔\left[\begin{matrix} 3x=0\\ x+1=0\end{matrix}\right.$
    $⇔\left[\begin{matrix} x=0\\ x=-1\end{matrix}\right.$
         Vậy S={0; -1}
    \text{#LinhSad}

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

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