# Newton's Sums, here?

Algebra Level 5

$\large x^3 + 2x^2 - 3x - 1 = 0$

If $$a,b \text{ & } c$$ are the roots of this equation, find the value of $$\displaystyle \sum_{\text{cyc}} \dfrac{1}{a^3}$$.

Note:

$$\displaystyle \sum_{\text{cyc}}$$ denotes cyclic summation.

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