[tex]\displaystyle\\ \frac{15}{x+2}\in N\\\\x\in N\\\\\implies15~\vdots~(x+2)\\\\\text{Divizorii lui 15 sunt:}\\\\D_{15}=\{1;~3:~5:~15\}\\\\x+2=1\implies x=1-2=-1 \notin N~~\text{(Solutie respinsa)}\\\\x+2=3\implies x=3-2=\boxed{\bf1}\\\\x+2=5\implies x=5-2=\boxed{\bf3}\\\\x+2=15\implies x=15-2=\boxed{\bf13}\\\\\boxed{\bf~x\in\{1:~3:~13\}}[/tex]
