Hosted by The Math Forum
Problem of the Week 1021
Erroneous Reduction, Usually
MacPoW Home ||
Forum PoWs ||
Teachers' Place ||
Student Center ||
Imagine you are an algebra teacher and a student claims that x/y = (2y + 1 - n)/(2x - 1 - n). Well, of course this cannot be true, but it turns out it is sometimes true. For which positive integers n is it true that there exist positive integers x and y making the equation true?
Source: College Math Journal Problem #750 by Angelo DiDomenica (Question vol. 34 no. 3, solution vol. 35 no. 2, but that would be cheating.)
© Copyright 2004 Stan Wagon. Reproduced with
© 1994-2014 Drexel University. All rights reserved.
Home || The Math Library || Quick Reference || Search || Help
The Math Forum is a research and educational enterprise of the Drexel University School of Education.
30 November 2004