Practice Problemset 2

Discussion on Bangladesh National Math Camp
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Masum
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Practice Problemset 2

Unread post by Masum » Wed Aug 26, 2015 7:35 pm

Here is the second problemset for practice. Comment your ideas or solutions. If there are confusions or problems, comment here so everyone can see. There will be an exam tomorrow.
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One one thing is neutral in the universe, that is $0$.

Tahmid
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Re: Practice Problemset 2

Unread post by Tahmid » Wed Aug 26, 2015 9:35 pm

ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না :?

Showmick_Paul
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Re: Practice Problemset 2

Unread post by Showmick_Paul » Wed Aug 26, 2015 11:47 pm

Plz add me in your pm..I was a camper of that grand math camp in junior...i have solved some problems and i wanna let them checked ...

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Masum
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Re: Practice Problemset 2

Unread post by Masum » Wed Aug 26, 2015 11:50 pm

I have approved your post. Now you should be able to pm.
One one thing is neutral in the universe, that is $0$.

rah4927
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Re: Practice Problemset 2

Unread post by rah4927 » Wed Aug 26, 2015 11:58 pm

Problem 1.6 Hints:

Assume $a(a+1)\cdot t(t+1)$ is interesting for some $t$. Now, try to think wishfully-wouldn't it be great if $(a+1)(t+1)$ and $at$ were consecutive integers? Unfortunately, this doesn't work. So, following the same logic, what else can you do?

I will admit that I spent most of the time while solving this problem concentrating on the factorization of $a^4+a^2+1$. That did not work out well for me.
Last edited by rah4927 on Thu Aug 27, 2015 4:42 pm, edited 2 times in total.

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Masum
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Re: Practice Problemset 2

Unread post by Masum » Thu Aug 27, 2015 12:04 am

Tahmid wrote:ভাইয়া ,
problem 4 এ $r$ এর কাজ কি ? আর প্রুফ যেটা করতে বলসে সেটাও বুঝতেছি না :?
$r$ এর জায়গায় $i$ হবে।
One one thing is neutral in the universe, that is $0$.

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