An algebra problem by Abhijith Asokan

Algebra Level 2

Let a,b,ca,b,c be the roots of the equation 2x33x2+5x7=0{ 2x }^{ 3 }-3{ x }^{ 2 }+{ 5 }x-7=0 then find 1a+1b+1c\frac { 1 }{ a } +\frac { 1 }{ b } +\frac { 1 }{ c } . Answer is of the form xy\frac { x }{ y } where xx and yy are positive integers. Enter x+yx+y.

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