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

Toán Lớp 8: 5x^2-10100x=x-2020. tính gtri của x

Toán Lớp 8: 5x^2-10100x=x-2020. tính gtri của x

Comments ( 2 )

  1. $ 5x^{2} – 10100x = x – 2020 $
    ⇒ $ 5x^{2} – 10100 x – x + 2020 = 0 $
    ⇒ $ 5x ( x – 2020 ) – ( x – 2020 ) = 0 $
    ⇒ $ ( 5x – 1 ) ( x – 2020 ) = 0 $
    ⇒ \(\left[ \begin{array}{l}5x-1=0\\x-2020=0\end{array} \right.\) 
    ⇒ \(\left[ \begin{array}{l}x=\dfrac{1}{5}\\x=2020\end{array} \right.\) 
    Vậy $ x = \dfrac{1}{5} $ hoặc $ x = 2020 $
     

  2. $\\$
    Giải đáp + giải thích các bước giải :
    $5x^2 – 10100x =x-2020\\⇔5x^2-10100x -x+2020=0\\⇔ (5x^2 – 10100x)-(x-2020)=0\\⇔5x(x-2020)-(x-2020)=0\\⇔(x-2020)(5x-1)=0\\⇔\left[ \begin{array}{l}x-2020=0\\5x-1=0\end{array} \right.\\⇔\left[ \begin{array}{l}x=2020\\5x=1\end{array} \right.\\⇔\left[ \begin{array}{l}x=2020\\x=\dfrac{1}{5}\end{array} \right.\\\text{Vậy}x=2020,x=\dfrac{1}{5}$

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