Find all postive integer solutions to the equation x^yy^x=x+y.
My calc teacher would be frowning, but the answers I came up with, using brute force, were (1,0) and (2,5). I went up to (100,100) and did not find any other solutions. Taking either number as a negative integer results in a noninteger equation and thus eliminates those choices.

Posted by Leming
on 20050302 18:55:42 