Problem
of
the
Week


PROBLEM 20


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

Consider all quadratic equations of the form
x2 + px + q = 0,

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.

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