# Ars Magna

Algebra Level 3

Let $$p$$, $$q$$, and $$r$$ be the solutions of the following equation $$x^{ 3 }-7{ x }^{ 2 }+3x+1=0$$. Calculate the value of

$\frac { 1 }{ p } +\frac { 1 }{ q } +\frac { 1 }{ r }.$

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