a)
Để \(\left(n+5\right)⋮\left(n-4\right)\)
\(\Rightarrow\left(n-4\right)+9⋮\left(n-4\right)\)
\(\Rightarrow9⋮\left(n-4\right)\)
\(\Rightarrow\left(n-4\right)\inƯ\left(9\right)=\left\{1;3;9\right\}\)
Ta có bảng :
| n-4 | 1 | 3 | 9 |
| n | 5 | 7 | 13 |
Vậy n=5;n=7;n=13 thì \(\left(n+5\right)⋮\left(n-4\right)\)
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