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

Toán Lớp 8: Giải pt sau: (2x-1)^3=4x^2-4x+1

Toán Lớp 8: Giải pt sau:
(2x-1)^3=4x^2-4x+1

Comments ( 2 )

  1. (2x-1)^3 = 4x^2 – 4x +1
    <=>(2x-1)^3 = (2x-1)^2
    <=>(2x-1)^3-(2x-1)^2=0
    <=>(2x-1)^2 (2x-1-1)=0
    <=>(2x-1)^2 (2x-2)=0
    <=>2(2x-1)^2 (x-1)=0
    <=>$\left[\begin{matrix} 2x-1=0\\ x-1=0\end{matrix}\right.$
    <=>$\left[\begin{matrix} x=\dfrac{1}{2}\\ x=1\end{matrix}\right.$
    text{Vậy}   x = {1/2;1}
    ~~~~~~~~~~~~GOOD LUCK~~~~~~~~~

  2. (2x-1)^3=4x^2-4x+1
    ->(2x-1)^3=(2x-1)^2
    ->(2x-1)^3-(2x-1)^2=0
    ->(2x-1)^2(2x-1-1)=0
    ->(2x-1)^2(2x-2)=0
    ->2(2x-1)^2(x-1)=0
    ->\(\left[ \begin{array}{l}2x-1=0\\x-1=0\end{array} \right.\) 
    ->\(\left[ \begin{array}{l}x=\frac{1}{2}\\x=1\end{array} \right.\) 
    Vậy S={1/2 ; 1}
     

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