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The Sum of Fourth Powers (Posted on 2007-07-04) Difficulty: 3 of 5
Find all integer solutions to x4+y4=(x+y)(xy+1) with x≥y≥0.

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

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Solution Solution Comment 2 of 2 |

There are only two solutions:


For any x>1, the 4th power function on the left side of the equation will always exceed the cubic function on the right.

  Posted by hoodat on 2007-07-04 19:16:36
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