Mathematics Problem Of the Week
Spring 2005
POW #9: An irrationally odd line
The line ax+by+c=0, where
a, b, and c are odd integers, and the parabola y=x2 do not intersect
at rational values of x. Explain why!
Solutions should be
submitted to Dr. Maegan Bos’ mailbox in the Math office or sent via e-mail to mbos@stlawu.edu
Presentation counts! The
prize-winning entry will be selected from all correct submissions, based on the
clarity, creativity and elegance of the solution.
Look for the SLU POW on
the Web at http://it.stlawu.edu/~math/activities/