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Discriminant

Author: mathforces
Problem has been solved: 29 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 $.





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