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

Toán Lớp 6: 3n+1 chia hết cho 2n-1 NHANH GIÚP MK

Toán Lớp 6: 3n+1 chia hết cho 2n-1
NHANH GIÚP MK

Comments ( 2 )

  1. 3n+1vdots2n-1
    <=>2(3n+1)-3(2n-1)vdots2n-1
    <=>6n+2-6n+3vdots2n-1
    <=>5vdots2n-1
    =>2n-1inƯ(5)
    =>2n-1={pm1;pm5}
    =>2n={0;2;6;-4
    =>n={0;1;3;-2}
    Vậy n={0;1;3;-2}

  2. 3n + 1 $\vdots$ 2n – 1 
    Vì 2n – 1 $\vdots$ 2n – 1  => 6n – 3 $\vdots$ 2n – 1
    3n + 1 $\vdots$ 2n – 1  => 6n + 2 $\vdots$ 2n – 1
    => [ ( 6n + 2 ) – ( 6n – 3 ) ] $\vdots$ 2n – 1
    => 5 $\vdots$ 2n – 1
    => 2n – 1 ∈ Ư ( 5 ) = { 1; -1 ; -5; 5 }
    => có 4 trường hợp : 
    1 . 2n – 1 = 1
    2. 2n – 1 = -1
    3. 2n – 1 = 5
    4. 2n – 1 = -5
    =>TH1 : 2n – 1 = 1
    2n = 1 + 1
    2n = 2
    n = 2 : 2
    n = 1
    TH2 : 2n – 1 = -1
    2n = – 1 + 1
    2n = 0
    n = 0 : 2 = 0
    TH3 : 2n – 1 = 5
    2n = 5 + 1
    2n = 6
    n = 6 : 2 = 3
    TH4 : 2n – 1 = -5
    2n = -5 + 1
    2n = -4
    n = – 4 : 2 = -2
    Vậy n ∈ { 1; 0; 3; -2 }

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