Hosted by The Math Forum

Problem of the Week 1040

A Special Sum of Squares

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

Find 7 (not necessarily distinct) positive integers, at least one of which is greater than 1040, such that the sum of their squares is 7 times the product (of the 7 integers).

Extra Credit: Solve this with 31 instead of 7 in all places.

Source: Gerald Heuer, Concordia College.

© Copyright 2005 Stan Wagon. Reproduced with permission.

[Privacy Policy] [Terms of Use]

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

© 1994-2014 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.


11 October 2005