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MathNet 2015-part-01 — 191 problems (EN–VI) Question 145

Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)

Question 145

In the equation $x^{2}+p x+q=0$, the coefficients $p$ and $q$ can take any values in the interval $[-1,1]$. What are the possible values of the roots of such an equation?