Question

Chứng minh rằng ( n-5 ) chia hết cho (n-2)

Ai làm nhanh mình tik cho 

Answer 1

\(\left(n-5\right)⋮\left(n-2\right)\)

\(\Rightarrow\left(n-2-3\right)⋮\left(n-2\right)\)

\(\Rightarrow\left(-3\right)⋮\left(n-2\right)\)

\(\Rightarrow n-2\inƯ\left(-3\right)=\left\{-3;-1;1;3\right\}\)

\(\Rightarrow n\in\left\{-1;1;3;5\right\}\)