perplexus.info :: Just Math : Quaint Quartic-Quadratic Sum

Quaint Quartic-Quadratic Sum (Posted on 2010-01-09)

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: Solution	Ady TZIDON	2010-01-09 19:28:44
Solution	Brian Smith	2010-01-09 17:54:44
computer exploration (spoiler)	Charlie	2010-01-09 16:58:37

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