DT

Tìm số tự nhiên n để ( 3n + 4 ) chia hết cho n - 1

YN
27 tháng 11 2021 lúc 21:03

Answer:

\(3n+4\)

\(=\left(3n-3\right)+3+4\)

\(=3.\left(n-1\right)+7\)

Mà: \(3.\left(n-1\right)⋮n-1\)

\(\Rightarrow7⋮n-1\)

\(\Rightarrow n-1\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\)

\(\Rightarrow n\in\left\{-6;0;2;8\right\}\)

Mà đề ra: \(n\inℕ\)

\(\Rightarrow n\in\left\{0;2;8\right\}\)

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CD
4 tháng 11 2024 lúc 20:59

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