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

Toán Lớp 8: x³ -x² – x + 1 =0 giúp mik vs ạ

Toán Lớp 8: x³ -x² – x + 1 =0
giúp mik vs ạ

Comments ( 2 )

  1. x^3-x^2-x+1=0
    <=>(x^3-x^2)-(x-1)=0
    <=>x^2(x-1)-(x-1)=0
    <=>(x-1)(x^2-1)=0
    <=>(x-1)(x-1)(x+1)=0
    <=>(x-1)^2(x+1)=0
    <=>\(\left[ \begin{array}{l}x-1=0\\x+1=0\end{array} \right.\) 
    <=>\(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\) 
    Vậy x=1 hoặc x=-1

  2. $ x^3 – x^2 – x + 1 =0 $
    $ ⇒ x^2 ( x – 1 ) – ( x – 1 ) = 0 $
    $ ⇒ ( x – 1 ) ( x^2 – 1 ) = 0 $
    $ ⇒ ( x – 1 ) ( x – 1 ) ( x + 1 )=0 $
    $ ⇒ ( x – 1 )^2 ( x + 1 ) = 0 $
    $ ⇒ $ \(\left[ \begin{array}{l}(x-1)^2=0\\x+1=0\end{array} \right.\) 
    $ ⇒ $\(\left[ \begin{array}{l}x-1=0\\x=-1\end{array} \right.\) 
    $ ⇒ $ \(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\) 
    Vậy x∈{1 ; – 1 } 

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