Determine all possible pairs (x,y) of half-integers
, with x ≤ y, that satisfy this equation:
] + [y2
] = 2016
Prove that there are no others.
*** [x] denotes the greatest integer ≤ x.
(In reply to re: computer solution
Of the 16 WolframAlpha solutions, only half have x <= y. The only two that my list failed to include were two cases where both x and y were negative:
So there are actually 8 solutions.
Posted by Charlie
on 2013-08-01 09:41:59