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

Toán Lớp 6: Bài 3 : Tìm x biết : $\dfrac{x+1}{3}$ = $\dfrac{3}{x+1}$

Toán Lớp 6: Bài 3 : Tìm x biết :
$\dfrac{x+1}{3}$ = $\dfrac{3}{x+1}$

Comments ( 2 )

  1. Answer
    {x + 1}/3 = 3/{x + 1}
    => (x + 1) . (x + 1) = 3 . 3
    => (x + 1)^2 = 9
    => (x + 1)^2 = (+-3)^2
    => x + 1 = +-3
    => $\left[\begin{matrix} x + 1 = 3\\ x + 1 = -3\end{matrix}\right.$
    => $\left[\begin{matrix} x = 3 – 1\\ x = -3 – 1\end{matrix}\right.$
    => $\left[\begin{matrix} x = 2\\ x = -4\end{matrix}\right.$
    $\text{Vậy}$ x \in {2 ; -4}

  2. Giải đáp:
    $\dfrac{x + 1}{3}$ = $\dfrac{3}{x + 1}$
    => (x + 1) . (x + 1) = 3.3
    => $(x + 1)^{2}$ = 9
    => $(x + 1)^{2}$ = $3^{2}$
    => x +1 = 3 hoặc x + 1 = -3
    => x = 3 – 1 hoặc x = -3 – 1
    => x = 2 hoặc x = -4
     

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