## Mello Group Title Find all the whole number values of n, that would make the following statement true. (3n+9)/(n+1) one year ago one year ago

1. mayankdevnani Group Title

2. mayankdevnani Group Title

@Mello

3. Mello Group Title

Thanks, but there was a set of numbers on the example question. 0 works, what else?

4. mayankdevnani Group Title

(3n+9)/(n+1) it is wholly divided....

5. Mello Group Title

What do you mean by, wholly divided?

6. mayankdevnani Group Title

means the remainder is zero(0)

7. Mello Group Title

Right. But I'm pretty sure there are other values of n, that also leaves a remainder of 0

8. chihiroasleaf Group Title

n = 2 ?

9. mayankdevnani Group Title

no one whole no. can be fully satisfied with n

10. mayankdevnani Group Title

@Mello

11. mayankdevnani Group Title

there would be some integers..

12. chihiroasleaf Group Title

I think $n = 3k-1, k \in \mathbb{N}$

13. Mello Group Title

Oh I got it, 0; 1; 2; 5; -2; -3; -4; -7 Heh, thanks for your help :)

14. mayankdevnani Group Title

thanx for who??

15. mayankdevnani Group Title

@Mello

16. mayankdevnani Group Title

are you there??

17. chihiroasleaf Group Title

if n is whole number, so negative integers can't be the solution, since whole number starts at 0,1,2,3,....

18. mukushla Group Title

$\frac{3n+9}{n+1}=\frac{3n+3+6}{n+1}=3+\frac{6}{n+1}$so $$n+1|6$$ and we have$n+1=\pm1,\pm2,\pm3,\pm6$

19. chihiroasleaf Group Title

@mukushla are negative numbers also the solutions? since the question ask for n to be whole number

20. mukushla Group Title

u r right negatives are not solution

21. mukushla Group Title

only solutions are $$n=0,1,2,5$$

22. Mello Group Title

@mayankdevnani everyone who helped. @chihiroasleaf @mukushla Sorry, I translated this from another language. I think the correct term was integer. Thanks again to everyone for your input!

23. mukushla Group Title

np :)