Question

Afla multimea numerelor naturale n pentru care fractia 3n+18 / n +2 este numar natural

Answer 1

(3n+18)/(n+2) =(3n+6+12)/(n+2) = 3(n+2)/(n+2) +12/(n+2)=3+12/(n+2)
3∈N
12=2²×3
n+2=2  n=0
n+2=3 n=1
n+2=4  n=2
n+2=6  n=4
n+2=12   n=10
n ∈ {0,1,2,4,10}