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.
by
Vishwak Srinivasan