Solutions
Number Theory
Level
3
Find the number of pairs of positive integers satisfying .
2
0
3
None of these choices
1
There are infinitely many solutions
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1 solution
Factor to get (x+y)(x-y)(xx+yy)=4721326. If x and y are both integers, then so is x+y, x-y, and xx+yy. However, since 4721326 only has 2 factors (2 and 2360663), this is impossible.