Question

$\frac{6n+4}{3n-2}$ ∈ Multimii nr. naturale

Aflati n natural .

Va rog, o rezolvare de clasa a V-a. Multumesc

Answer 1

[tex]\sf \frac{6n+4}{3n-2} \in \mathbb N \\ 3n-2|3n-2|*2 \\ 3n-2|6n+4(1) \\ 3n-2|6n-4(2) \\ (2)-(1) \rightarrow 3n-2|8 \\ 3n-2 \in \{1,2,4,8\} \\ 3n \in \{3,4,6,10\} \\ \boxed{\sf n \in \{1,2\}}[/tex]