# Exactly two roots

Author: mathforces
Problem has been solved: 50 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?