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Positive product of sums

Author: mathforces
Problem has been solved: 52 times

Русский язык | English Language



Let $ S $ be the set of sums of the numbers $ p $ and $ q $ such that both equations $ x ^ 2 + px + q = 0 $ and $ x ^ 2 + qx + p = 0 $ have integer roots. Find $ | P (S) | $, where $ P (S) $ is the product of all elements of the set $ S $.





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