Question

Determinați numerele naturale n, știind ca n+1 divide 2n+11

Answer 1

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Answer 2

[tex]\it n+1|2n+11 \ \ \ \ \ (1) \\\;\\ n+1|n+1 \Rightarrow n+1|(n+1)\cdot2 \Rightarrow n+1| 2n+2 \ \ \ \ (2) \\\;\\ (1), (2) \Rightarrow n+1| 2n+11-2n-2 \Rightarrow n+1|9 \Rightarrow \\\;\\ \Rightarrow n+1\in \{1,\ 3,\ 9\}|_{-1} \Rightarrow n\in \{0,\ 2,\ 8\} [/tex]