New-ton!

Algebra Level 3

If \( \large a + b + c = 1 \) , \( \large a^2 + b^2 + c^2 = 9 \) and \( \large a^3 + b^3 + c^3 = 1 \) ,

Then \( \large \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \)

This problem is a part of the sets - 3's & 4's & QuEsTiOnS.
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