If alpha is the only real root of the e...

If `alpha` is the only real root of the equation `x^3 + bx^2 + cx + 1 = 0 (b < c)`, then the value of `tan^-1 alpha+ tan^-1 (alpha^-1)` is equal to :

`-pi`

`- pi/2`

`pi/2`

`pi`

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