Find position of roots

Algebra Level pending

Let \(a\), \(b\), and \(c\) be the roots of \(x^{3}+x^{2}-5x-1\). Find \(\lfloor a \rfloor +\lfloor b \rfloor +\lfloor c \rfloor\).

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Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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