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.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Solution

Comment 3 of 3 |

(In reply to Solution by Brian Smith)

Beautiful

Posted by Ady TZIDON on 2010-01-09 19:28:44

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info