Question

[Nguyen Van Dat]

Tim cac so tu nhien n biet

5n - 8 chia het 4 - n

Answer 1

[Nguyễn Thanh Hằng]

\(5n-8⋮4-n\)

Mà \(-n+4⋮4-n\)

\(\Leftrightarrow\left\{{}\begin{matrix}5n-8⋮4-n\\-5n+20⋮4-n\end{matrix}\right.\)

\(\Leftrightarrow12⋮4-n\)

\(\Leftrightarrow4-n\inƯ\left(12\right)\)

Tự xét tiếp!

Answer 2

[Siêu sao bóng đá]

Theo đề bài ta có:

5n - 8 \(⋮\) 4 - n

Mà - n \(⋮\) - n

\(\Rightarrow\) \(\left\{{}\begin{matrix}5n-8⋮4-n\\-5n+20⋮4-n\end{matrix}\right.\)

\(\Leftrightarrow\) 12 \(⋮\) 4 - n

\(\Leftrightarrow\) 4 - n \(\in\) Ư(12)

\(\Leftrightarrow\) 4 - n \(\in\) { 1;2;3;4;6;12 }

\(\Leftrightarrow\) n \(\in\){ 5;6;7;8;10;16}

Vậy n \(\in\) { 5;6;7;8;10;16 }