n2+3n-13 chia hết cho n+3
=> n.(n+3)-13 chia hết cho n+3
Vì n.(n+3) chia hết cho n+3
=> -13 chia hết cho n+3
=> n+3 thuộc Ư(-13)
| n+3 | n |
| 1 | -2 |
| -1 | -4 |
| 13 | 10 |
| -13 | -16 |
KL: n thuộc........................
2n+1 chia hết cho n-5
=> 2n-10+11 chia hết cho n-5
Vì 2n-10 chia hết cho n-5
=> 11 chia hết cho n-5
=> n-5 thuộc Ư(11)
| n-5 | n |
| 1 | 6 |
| -1 | 4 |
| 11 | 16 |
| -11 | -6 |
KL: n thuộc................................
a) n+5 chia hết cho n-2=>(n-2)+7 chia hết cho n-2
=>7 chia hết cho n-2
=>n-2=Ư(7)=(-1,-7,1,7)
=>n=(1,-5,3,9)
Vậy n=1,-5,3,9
b) 2n+1 chia hết cho n-5=>2n-10+11=2.(n-5)+11 chia hết cho n-5
=>11 chia hết cho n-5
=>n-5=Ư(11)=(-1,-11,1,11)
=>n=(4,-6,6,16)
Vậy n=4,-6,6,16
c) n2+3n-13 chia hết cho n+3=>n.(n+3)-13 chia hết cho n+3
=>13 chia hết cho n+3
=>n+3=Ư(13)=(-1,-13,1,13)
=>n=(-4,-16,-2,10)
Vậy n=-4,-16,-2,10
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