Can you find an integer b such that:3b^+3b+7?

For discussing Olympiad Level Number Theory problems
liyuqingru
Posts: 1
Joined: Mon Oct 22, 2012 9:30 am

Can you find an integer b such that:3b^+3b+7?

Unread post by liyuqingru » Sat Oct 27, 2012 11:51 am

Find $b$ such that \[3b^2+3b+7\vdots b\]
Who can help me solve this question in detail? Thanks a lot!
Last edited by Masum on Tue Oct 30, 2012 5:13 am, edited 1 time in total.
Reason: I put this according to my guess. Edit if it's not the case

User avatar
Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm
Location: Dhaka,Bangladesh

Re: Can you find an integer b such that:3b^+3b+7?

Unread post by Masum » Tue Oct 30, 2012 5:14 am

$a|b\Rightarrow a\vdots b$
Don't use the title to mean the actual problem. To clarify the problem, be generous enough to write some detail on the problem. And find a suitable title
One one thing is neutral in the universe, that is $0$.

User avatar
harrypham
Posts: 12
Joined: Wed Aug 31, 2011 12:31 pm
Location: Vietnam
Contact:

Re: Can you find an integer b such that:3b^+3b+7?

Unread post by harrypham » Sat Aug 10, 2013 7:35 am

liyuqingru wrote:Find $b$ such that \[3b^2+3b+7\vdots b\]
Who can help me solve this question in detail? Thanks a lot!
From here we obtain $b|7$.

Post Reply