2017 Regional no.9 Dhaka

Forum rules
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Md. Rifat uddin
Posts: 10
Joined: Thu Dec 15, 2016 1:32 pm

2017 Regional no.9 Dhaka

Anyone knows How to solve this ?? :/
Attachments
Ashampoo_Snap_2017.06.03_17h01m25s_001_.jpg (77.79 KiB) Viewed 662 times

aritra barua
Posts: 50
Joined: Sun Dec 11, 2016 2:01 pm

Re: 2017 Regional no.9 Dhaka

Check the parity of the equation and the rest should be clear.

Md. Rifat uddin
Posts: 10
Joined: Thu Dec 15, 2016 1:32 pm

Re: 2017 Regional no.9 Dhaka

So there are no solutions?? But the powers of 2 can be negative,so how do I handle that??

Posts: 169
Joined: Mon Mar 28, 2016 6:21 pm

Re: 2017 Regional no.9 Dhaka

No, there are solutions. You have to consider the case where \$k+4-4m^2=0\$ or \$n^2+k-m^2=0\$.
Frankly, my dear, I don't give a damn.

Md. Rifat uddin
Posts: 10
Joined: Thu Dec 15, 2016 1:32 pm

Re: 2017 Regional no.9 Dhaka

Oh !! sorry I missed that case of k+n^2-m^2 =0. SO the ans. is 17 ?? :/

Zahin Hasin Rudro
Posts: 11
Joined: Sun Jul 12, 2015 3:52 am

Re: 2017 Regional no.9 Dhaka

I got 16 ,how 17 ??

Md. Rifat uddin
Posts: 10
Joined: Thu Dec 15, 2016 1:32 pm

Re: 2017 Regional no.9 Dhaka

Actually I get 18 values .. I worked out the values of k- 15,21,27,33,35,39,51,55,57,77,99,65,69,85,87,93,95,81.

Zahin Hasin Rudro
Posts: 11
Joined: Sun Jul 12, 2015 3:52 am

Re: 2017 Regional no.9 Dhaka

Oops I missed 81and 93!

Md. Rifat uddin
Posts: 10
Joined: Thu Dec 15, 2016 1:32 pm

Re: 2017 Regional no.9 Dhaka

Btw I'm not sure id my ans. is correct :/ Am I correct??

Abdullah Al Tanzim
Posts: 9
Joined: Tue Apr 11, 2017 12:03 am