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

Toán Lớp 10: Liệt kê phần tử A= {x€ R|(6x²-7x+1)(x³ -x)=0}

Toán Lớp 10: Liệt kê phần tử A= {x€ R|(6x²-7x+1)(x³ -x)=0}

Comments ( 2 )

  1. A= {x ∈ R|(6x^2-7x+1).(x^3-x)=0}
    Xét (6x^2-7x+1).(x^3-x)=0
    ⇔ (6x^2-7x+1).x.(x^2-x)=0
    ⇔\(\left[ \begin{array}{l}6x^2-7x+1=0\\x.(x^2-x)=0\end{array} \right.\) 
    ⇔[([(x=1),(x=-1):}),([(x=0),(x^2 – 1 = 0):}):}
    ⇔[([(x=1),(x=1/6):}), ([(x=0),([(x=-1),(x=1):} ):}):}
    Vậy A={-1;0;1/6;1}
     

  2. Lời giải và giải thích chi tiết:
    $A=${$x \in R | (6x^2-7x+1)(x^3-x)=0$}
    Ta có: $(6x^2-7x+1)(x^3-x)=0 ⇔$\(\left[ \begin{array}{l}6x^2-7x+1=0\\x^3-x=0\end{array} \right.\)<=>\(\left[ \begin{array}{l}\left[ \begin{array}{l}x=\frac{1}{6}\\x=1\end{array} \right. \\ \left[ \begin{array}{l}x=0\\x=±1\end{array} \right. \end{array} \right.\)  
    $⇒A=${$-1;0;\frac{1}{6} ;1$}

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