Let f (x) = (x ^(2) - 5x +4) (x ^(2) + 5...

Let `f (x) = (x ^(2) - 5x +4) (x ^(2) + 5x +4) and alpha, beta, gamma` (where `alpha lt beta lt gamma`) are roots of `f '(x) = 0,` then the value of `([alpha ] ^(2)+[beta +1])/( [gamma]) ` is equal to (where [.] denote greatest integer function)

`5/3`

`5/2`

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