Question

Tìm số tự nhiên sao cho 4n + 14 chia hết cho 2n - 1 

Answer 1

\(\Rightarrow2\left(2n-1\right)+17⋮\left(2n-1\right)\\ \Rightarrow17⋮\left(2n-1\right)\\ \Rightarrow2n-1\inƯ\left(17\right)=\left\{-17;-1;1;17\right\}\\ \Rightarrow2n\in\left\{0;2;18\right\}\left(n\in N\right)\\ \Rightarrow n\in\left\{0;1;9\right\}\)