An algebra problem by Abhijith Asokan

Algebra Level 2

Let \(a,b,c\) be the roots of the equation \({ 2x }^{ 3 }-3{ x }^{ 2 }+{ 5 }x-7=0\) then find \(\frac { 1 }{ a } +\frac { 1 }{ b } +\frac { 1 }{ c } \) . Answer is of the form \(\frac { x }{ y } \) where \(x\) and \(y\) are positive integers. Enter \(x+y\).

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