×

# 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
9 months, 2 weeks ago

Sort by:

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

Official solution:

· 9 months, 1 week ago

What have you tried? What restrictions can we place on $$m$$? Staff · 9 months, 1 week ago

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

Please tell me what approach should I take on problems like these. · 9 months, 1 week ago