Hosted by The Math Forum

Problem of the Week 1010

An Exponential Diophantine Problem

_____________________________________________
MacPoW Home ||  Forum PoWs ||  Teachers' Place ||  Student Center ||  Search MacPoW
 _____________________________________________

Show that there are infinitely many pairs of positive integers x, y so that x(x - y) = y(x + y).

Source: Dan Velleman (The 2002 Walker Contest at Amherst College)

© Copyright 2004 Stan Wagon. Reproduced with permission.

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2013 Drexel University. All rights reserved.
http://mathforum.org/
 The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.


21 April 2004