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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