# Quintic Pi Polynomial

Calculus Level 2

$\large \color{#D61F06}{3}x^{5} \color{#3D99F6}{=} \color{#D61F06}{1}x^{4} + \color{#D61F06}{4}x^{3} + \color{#D61F06}{1}x^{2} + \color{#D61F06}{5}x + \color{#D61F06}{9}$

The above polynomial has exactly one real root $\alpha$ . Find $\lfloor 1000 \times \alpha \rfloor$.

Notation: $\lfloor x \rfloor$ denotes the greatest integer smaller than or equal to $x$. This is known as the greatest integer function.

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