Draft:Bpow1997-20

This week's problem was provided (as penance) by Dr. Mike McAsey. Muchas Gracias Miguel!

Consider all quadratic equations of the form <m>x^2 + px + q = 0</m>

where the coefficients p and q can take on any value between +1 and -1 (inclusive), independently of one another. Find all possible values of the real roots of these equations.

Problem by Alberto L Delgado, from the now extinct Bradley Problem of the Week.