Răspuns:
n = { 2 ; 3 ; 6 ; 9 ; 18}
Explicație pas cu pas:
205 : n = c₁ rest 7 ; c ≠ 0
241 : n = c₂ rest 7
205 = nc₁ + 7 => nc₁ = 205-7 = 198
241 = nc₂ +7 => nc₂ = 241-7 = 234
n = 198/c₁ = 234/c₂ ; n ∈ N
198 = 2·3²·11
234 = 2·3²·13
c₁ = 11 => n = 18
c₁ = 22 => n = 9
c₁ = 33 => n = 6
c₁ = 66 => n = 3
c₁ = 99 => n = 2
c₂ = 13 => n = 18
c₂ = 26 => n = 9
c₃ = 39 => n = 6
c₃ = 78 => n = 3
c₃ = 117 => n = 2
n = { 2 ; 3 ; 6 ; 9 ; 18}
#copaceibrainly
