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

Toán Lớp 6: tìm x biết : ( x + 11 ) chia hết cho ( x + 1 )

Toán Lớp 6: tìm x biết : ( x + 11 ) chia hết cho ( x + 1 )

Comments ( 2 )

  1. $\text{x + 11}$ $\vdots$ $\text{x + 1}$
    $\Rightarrow$ $\text{x + 1 + 10}$ $\vdots$ $\text{x + 1}$
    $\Rightarrow$ $\text{10 $\vdots$ x + 1}$
    $\Rightarrow$ $\text{x + 1 $\in$ Ư(10)}$
    $\Rightarrow$ $\text{x $\in$ Ư(9) = }$ {$\text{1 ; 3 ; 9}$}
     

  2. ( x + 11 ) \vdots ( x + 1 )
    => ( x + 1 ) + 10 \vdots ( x + 1 )
    => 10 \vdots ( x + 1 )                             ( Vì x + 1 \vdots x + 1 )
    => ( x + 1 ) ∈ Ư(10) = {-10 ; -5 ; -2 ; -1 ; 1 ; 2 ;5 ; 10}
    => x ∈ {-11 ; -6 ; -3 ; -2 ; 0 ; 1 ; 4 ; 9}
    Vậy x ∈ {-11 ; -6 ; -3 ; -2 ; 0 ; 1 ; 4 ; 9}
    #dtkc

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