Explicație pas cu pas:
[tex]\frac{2x - 3}{x + 5} = \frac{2x + 10 - 13}{x + 5} = \frac{2(x + 5) - 13}{x + 5} \\ = 2 - \frac{13}{x + 5}\in \mathbb{Z} \\ 2 \in \mathbb{Z} = > \frac{13}{x + 5} \in \mathbb{Z} \\= > (x + 5)\in\{-13; -1; 1; 13\}[/tex]
[tex]x + 5 = - 13 = x = - 18 \\ x + 5 = - 1 = > x = - 6 \\ x + 5 = 1 = > x = - 4 \\ x + 5 = 13 = > x = 8[/tex]
[tex]=> G = \{-18; -6; -4; 8 \} [/tex]
