# An algebra problem by me...

Algebra Level 3

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

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