Let alpha, beta (alpha < beta) are the r...

Let `alpha, beta (alpha < beta)` are the roots of the equation `3x^2 - 35x + 22=0` If equation formed by roots `(9alpha^2+beta) and (beta^2+ 9alpha)` is `f(x) = 0`, then `f(x)` has minimum value at `x=k`. The value of `(79-k)/2` is equal to

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Let `alpha, beta (alpha < beta)` are the roots of the equation `3x^2 - 35x + 22=0` If equation formed by roots `(9alpha^2+beta) and (beta^2+ 9alpha)` is `f(x) = 0`, then `f(x)` has minimum value at `x=k`. The value of `(79-k)/2` is equal to

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