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Exactly two roots

Author: mathforces
Problem has been solved: 47 times

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Let $ t $ be a real number such that the equation $ x ^ 3 = -t (x + 1) $ has exactly two real roots. It is known that $ t $ can be represented as an irreducible fraction $ \frac {m} {n} $, where $ m $ and $ n $ are integers. What is $ mn + 2020 $ equal to?





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