a, \(xy=6\Rightarrow x;y\inƯ\left(6\right)=\left\{\pm1;\pm2;\pm3;\pm6\right\}\)
x | 1 | -1 | 2 | -2 | 3 | -3 | 6 | -6 |
y | 6 | -6 | 3 | -3 | 2 | -2 | 1 | -1 |
b, \(xy=-6\Rightarrow x;y\inƯ\left(-6\right)=\left\{\pm1;\pm2;\pm3;\pm6\right\}\)
x | 1 | -1 | 2 | -2 | 3 | -3 | 6 | -6 |
y | -6 | 6 | -3 | 2 | -2 | 2 | -1 | 1 |
a: =>xy=6
\(\Leftrightarrow\left(x,y\right)\in\left\{\left(1;6\right);\left(6;1\right);\left(2;3\right);\left(3;2\right);\left(-1;-6\right);\left(-6;-1\right);\left(-2;-3\right);\left(-3;-2\right)\right\}\)
b: =>xy=-6
\(\Leftrightarrow\left(x,y\right)\in\left\{\left(-1;6\right);\left(6;-1\right);\left(-2;3\right);\left(3;-2\right);\left(1;-6\right);\left(-6;1\right);\left(2;-3\right);\left(-3;2\right)\right\}\)
a⇔(x,y)∈{(1;6);(6;1);(2;3);(3;2);(−1;−6);(−6;−1);(−2;−3);(−3;−2)
b⇔(x,y)∈{(−1;6);(6;−1);(−2;3);(3;−2);(1;−6);(−6;1);(2;−3);(−3;2)}