Show that y^2+y+1=x^2 has no positive integer solution.
Last edited by mr fantastic; January 11th 2011 at 10:28 AM.
Follow Math Help Forum on Facebook and Google+
Originally Posted by dila Show that y^2+y+1=x^2 has no positive integer solution. Clearly, is odd. is odd. is a multiple of 8. is a multiple of 8. is a multiple of 8. Can you proceed? (because I can't!)
Last edited by alexmahone; January 11th 2011 at 12:05 AM.
New solution: , which implies that there is a perfect square between two consecutive perfect squares, which is impossible.