PROBLEM OF THE MONTH

October 2006




Congratulations to Fernando Lopez, this month's winner! This month, we received many correct solutions, but Fernando's is the best explained [pdf].

Let f be a polynomial such that the equation f(x)=x is unsolvable in real numbers. Is it possible that the equation f(f(x))=x is solvable?

This month's prize will be awarded to the best explained, correct solution.


Submit your solution to the Mathematics Undergraduate Office (Math P-142) or electronically to problem@math.sunysb.edu by the due date. Acceptable electronic formats are: PDF, Postscript, DVI, (La)TeX, or just plain text. Please include your name and phone number, or preferably your email address.

Closing date: November 1st at 12 pm.