MathNet 2007-part-02 — 187 problems (EN–VI) Question 50

Consider the quadratic polynomial $p(x) = x^2 + ax + b$, where $a, b$ are in the interval $[-2, 2]$. Find the range of the real roots of $p(x) = 0$, as $a$ and $b$ vary over $[-2, 2]$.