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

Toán Lớp 6: A) 2x – 9 = 3² : 3 B) [ 3. ( 42 – x) + 15 ] : 5 = 2³ . 3 C) 84 ⋮ x,180 ⋮ x và x ≥ 6 D) x ⋮ 28 , x ⋮ 56, x ⋮ 70 và 500< x < 600

Toán Lớp 6: A) 2x – 9 = 3² : 3
B) [ 3. ( 42 – x) + 15 ] : 5 = 2³ . 3
C) 84 ⋮ x,180 ⋮ x và x ≥ 6
D) x ⋮ 28 , x ⋮ 56, x ⋮ 70 và 500< x < 600

Comments ( 2 )

  1. a, 2x – 9 = 3^2 : 3
    => 2x – 9 = 9 : 3
    => 2x – 9 = 3
    => 2x = 3+9
    => 2x = 12
    => x = 6
    b, [3. (42 – x) + 15] : 5 = 2^3. 3
    => [3. (42 – x) + 15] : 5 = 24
    => 3. (42 – x) + 15 = 24. 5
    => 3. (42 – x) + 15 = 120
    => 3.(42 – x) = 120 – 15
    => 3(42 – x) = 105
    => 42 – x = 35
    => x  = 42 – 35 = 7
    c, 84 vdots x; 180 vdots x và x ≥ 6
    => x in ƯC(84; 180)
    Ta có: 84 = 2^2. 3.7
              180 = 2^2. 3^3. 5
    => UCLN(84; 180) = 2^2. 3 = 12
    => UC(84; 180) = Ư(12) = {±1; ±2; ±3; ±4; ±6; ±12}
    Mà x ≥ 6 => x {6;12}
    d, x vdots 28; x vdots 56; x vdots 70
    => x in BC(28;56;70)
    Ta có: 28 = 2^2. 7;  56 = 2^3. 7;  70 = 2.5.7
    => BCNNN(28;56;70) = 2^3. 7.5 = 280
    => BC(28;56;70) = B(280) = {0; ±280; ±560; ±840;…}
    Mà 500 < x < 600
    => x = 560

  2. $a)2x-9$=$3^{2}$ $:3$
    $2x-9=9:3$
    $2x-9=3$
    $2x=12$
    $x=12:2$
    $x=6$
    $b)[3.(42-x)+15]:5$=$2^{3}$ $.3$
    $[3.(42-x)+15]:5=24$
    $[3.(42-x)+15]=24.5$
    $[3.(42-x)+15]=120$
    $3.(42-x)=120-15$
    $3.(42-x)=105$
    $(42-x)=105:3$
    $(42-x)=35$
    $x=42-35$
    $x=7$
    $c)$ 84 ⋮ x,180 ⋮ x và x ≥ 6
    $\text{Vì}$ $84 ⋮ x,180 ⋮ x ⇒x ∈ ƯC(84,180)$
    $Mà ƯC(84,180)=Ư(12)={±1;±2;±3;±4;±6;±12}$
    $Mà x≥6⇒ x ∈ {6,12}$
    $d,$ $\text{x}$ $⋮ 28$, $\text{x}$ $⋮ 56,$ $\text{x}$ $⋮ 70$ $\text{và}$ $500<x< 600$
    $\text{Vì}$ $x ⋮ 28 , x ⋮ 56, x ⋮ 70 ⇒x ∈ BC(28,56,70)$
    $Mà BC(28,56,70)= BC(280)={0;±280;±560;±840;…}$
    $Mà 500 <x < 600⇒ x = 560$
     

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

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