\(\dfrac{16}{x-1}\Rightarrow x-1\inƯ\left(16\right)=\left\{\pm1;\pm2;\pm4;\pm8;\pm16\right\}\)
x-1 | 1 | -1 | 2 | -2 | 4 | -4 | 8 | -8 | 16 | -16 |
x | 2 | 0 | 3 | -1 | 5 | -3 | 9 | -7 | 17 | -15 |
\(x-1\inƯ\left(16\right)\\ Ư\left(16\right)=\left\{1;-1;2;-2;4;-4;8;-8;16;-16\right\}\\ =>x=\left\{2;0;3-1;5;-3;9;-7;17;-15\right\}\)