Inspired by Aareyan Manzoor

Calculus Level 3

Let \(a,b\) and \(c\) be roots of the equation \( x^3+x^2-5x-1 =0 \). Compute \( \lfloor a \rfloor + \lfloor b \rfloor + \lfloor c \rfloor \).

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

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