Challenge 377: Only two solutions?
Does this equation really only have two solutions?
In the equation below, m and n are both non-negative integers.
(i) Find two possible solutions for m and n. Don't forget that they have to be non-negative integers!
(ii) Either
(a) find a third pair of values for m and n that satisfy this equation.
or (b) explain clearly how you know that there are no more possible values for m and n.