# Find all pairs (x, y)

• Oct 23rd 2008, 11:25 AM
alexmahone
Find all pairs (x, y)
Find all pairs (x, y), where x, y are integers such
$x^3 + 11^3 = y^3$

My solution: By Fermat's last theorem, the only solutions are (-11, 0) and (0, 11). Am I right?
• Oct 24th 2008, 09:05 AM
CaptainBlack
Quote:

Originally Posted by alexmahone
Find all pairs (x, y), where x, y are integers such
$x^3 + 11^3 = y^3$

My solution: By Fermat's last theorem, the only solutions are (-11, 0) and (0, 11). Am I right?

yes

CB