# Discriminant

Author: mathforces
Problem has been solved: 34 times

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Let $p (x) = a + bx + cx^2$ for some integers $a$, $b$ and $c$. It turned out that $p (n) = p (m) = p (k) -2 = 0$, for some different integers $n$, $m$ and $k$. Find the largest possible value of $b^2-4ac$.