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

Toán Lớp 8: Tìm x biết: x + 1 = $( x + 1 )^{2}$

Toán Lớp 8: Tìm x biết: x + 1 = $( x + 1 )^{2}$

Comments ( 2 )

  1. (x+1)^2=x+1
    \to x^2+2x+1=x+1
    \to x^2+2x-x+1-1=0
    \to x^2+x=0
    \to x(x+1)=0
    \to \(\left[ \begin{array}{l}x=0\\x+1=0\end{array} \right.\) \to \(\left[ \begin{array}{l}x=0\\x=-1\end{array} \right.\) 
    Vậy x\in{-1;0}
     

  2.      x + 1 = ( x + 1 )² 
    ⇔ x + 1 = x² +2x + 1²
    ⇔ x + 1 – x² – 2x -1 = 0
    ⇔ -x² – x  = 0 
    ⇔ x² + x = 0 
    ⇔ x ( x +1 ) = 0
    ⇔\(\left[ \begin{array}{l}x=0\\x+1=0\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=0\\x=-1\end{array} \right.\) 
    Vậy phương trình có 2 nghiệm phân biệt x= -1 ; x = 0
    nguyenduyhungk6

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