×

# Go Brilliant

Find all pairs $$(m,n)$$ of non-negative integers for which $m^2+2\cdot 3^{n}=m \left(2^{n+1}-1\right)$

Note by Akshat Sharda
1 year, 6 months ago

## Comments

Sort by:

Top Newest

This is problem N2 (proposed by Austrilia) of the 51st IMO Shortlist (2010).

Official solution:

· 1 year, 6 months ago

Log in to reply

What have you tried? What restrictions can we place on $$m$$? Staff · 1 year, 6 months ago

Log in to reply

I'm not able to get a start on problems like this.

Please tell me what approach should I take on problems like these. · 1 year, 6 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...