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Quaint Quartic-Quadratic Sum (Posted on 2010-01-09) Difficulty: 4 of 5
Determine all possible pair(s) of nonnegative integers (P, Q) that satisfy this equation.

                             P4 + (P+1)4 = Q2 + (Q+1)2

Prove that these are the only pair(s) that exist.

  Submitted by K Sengupta    
Rating: 4.0000 (1 votes)
Solution: (Hide)
(0, 0) is the only possible pair that satisfies the given conditions.

For a proof, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: SolutionAdy TZIDON2010-01-09 19:28:44
SolutionSolutionBrian Smith2010-01-09 17:54:44
Some Thoughtscomputer exploration (spoiler)Charlie2010-01-09 16:58:37
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