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Let f (x) = x^3 + ax^2+ bx + c where a,...

Let `f (x) = x^3 + ax^2+ bx + c` where `a, b and c` are rational number. If two roots of `f(x)=0` are eccentricities of `x^2-y^2 = 1 6 and y^2 = 1 6x` then `(a +b+ c)` is equal to

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