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

Toán Lớp 8: Tìm x biết : a, x ( x – 1 ) + x – 1 = 0 b, 3 ( 2x – 3 ) + 5x = 35

Toán Lớp 8: Tìm x biết :
a, x ( x – 1 ) + x – 1 = 0
b, 3 ( 2x – 3 ) + 5x = 35

Comments ( 2 )

  1. Answer
    a, x . (x – 1) + x – 1 = 0
    => x . (x – 1) + (x – 1) . 1 = 0
    => (x + 1) . (x – 1) = 0
    => $\left[\begin{matrix} x+1=0\\ x-1=0\end{matrix}\right.$
    => $\left[\begin{matrix} x=0-1\\ x=0+1\end{matrix}\right.$
    => $\left[\begin{matrix} x=-1\\ x=1\end{matrix}\right.$
    $\text{Vậy}$ x \in {-1 ; 1}
    ____________________
    b, 3 . (2x – 3) + 5x = 35
    => 6x – 9 + 5x = 35
    => 6x + 5x – 9 = 35
    => 11x – 9 = 35
    => 11x = 35 + 9
    => 11x = 44
    => x = 44 : 11
    => x = 4
    $\text{Vậy}$ x = 4

  2. Giải đáp:

     

    Lời giải và giải thích chi tiết:

    x (x – 1) + x – 1 = 0

    x^2 – x + x – 1 = 0

    x^2 – 1 = 0

    x^2 = 1

    x=-1

    b, 3 ( 2x – 3 ) + 5x = 35

    ⇒ 6 x − 9 + 5 x = 35

    ⇒ 6 x + 5 x − 9 = 35

    =>11x−9=35

    =>11x−9+9=35+9

    =>11x=44

    $\frac{11x}{11}$ =$\frac{44}{11}$

    x=4

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

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