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

Toán Lớp 6: 2 số nguyên x , y biết : x – y + xy -2 = 2

Toán Lớp 6: 2 số nguyên x , y biết : x – y + xy -2 = 2

Comments ( 2 )

  1. Giải đáp:
    (x;y)={(2;2);(4;0);(0;-4);(-2;-2)}
    Trình bày lời giải:
    x-y+xy-2=2
    =>(x+xy)-y-2=2
    =>x.(1+y)-y-1-1=2
    =>x.(y+1)-(y+1)=2+1
    =>(x-1)(y+1)=3
    Mà 3=1.3=3.1=(-1).(-3)=(-3).(-1)
    Ta có bảng sau:
    $\begin{array}{|c|c|}\hline x-1&1&3&-1&-3\\\hline y+1&3&1&-3&-1\\\hline x&2&4&0&-2\\\hline y&2&0&-4&-2\\\hline\end{array}$
    Vậy (x;y)={(2;2);(4;0);(0;-4);(-2;-2)}

  2. Giải đáp:
    $\\$
    x – y + xy – 2 = 2
    ↔ x – y + xy -1 – 1 = 2
    ↔ (x + xy) – (y + 1) – 1= 2
    ↔ x (y + 1)-  (y + 1) -1 = 2
    ↔ (x-1) (y+1) – 1=2
    ↔ (x-1) (y + 1) = 2 + 1
    ↔ (x-1) (y+1)=3
    ↔ (x-1) (y+1) = (±1) . (±3) = (±3) . (±1)
    Ta có bảng :
    $\begin{array}{|c|c|c|c|c|c|c|}\hline x-1& 1 & 3 & -1 & -3  \\\hline y + 1& 3 & 1 & -3 & -1 \\\hline x&2&4&0&-2 \\\hline y&2&0&-4&-2\\\hline\end{array}$
    Vậy cắc cặp (x;y) thỏa mãn là : (2;2), (4;0), (0;-4), (-2;-2)
     

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

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