An algebra problem by me...

Algebra Level 2

\(a + b + c=1\) , \(a^{2} + b^{2} + c^{2}=9\) , \(a^{3} + b^{3} + c^{3}=1\), then find \(\frac{1}{a} +\frac{1}{b} + \frac{1}{c}\)

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