Question

Determinati n€ N astfel încât 6/2n+1€Z

Answer 1

$\frac{6}{2n+1}\ apartine\ lui\ Z=\ \textgreater \ 2n+1|6 \\ =\ \textgreater \ 2n+1\ apartine\ divizorilor\ lui\ 6 \\ =\ \textgreater \ 2n+1 = (1,2,3,-1,-2,-3)^-^1 \\ =\ \textgreater \ 2n=(0,1,2,-2,-3,-4)^:^2 \\ =\ \textgreater \ n=(0,1,-1,-2)$