Question

Tìm n thuộc Z sao cho:

a) 4n - 5 chia hết cho n;

b) n² +n - 13 chia hết cho n + 3;

c) n² + 3 chia hết cho n - 1.

 

Answer 1

a: \(4n-5⋮n\)

\(\Leftrightarrow-5⋮n\)

hay \(n\in\left\{1;-1;5;-5\right\}\)

b: \(\Leftrightarrow n^2+3n-2n-6-7⋮n+3\)

\(\Leftrightarrow n+3\in\left\{1;-1;7;-7\right\}\)

hay \(n\in\left\{-2;-4;4;-10\right\}\)

c: \(\Leftrightarrow n^2-1+4⋮n-1\)

\(\Leftrightarrow n-1\in\left\{1;-1;2;-2;4;-4\right\}\)

hay \(n\in\left\{2;0;3;-1;5;-3\right\}\)