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Suppose that the equation f(x) = x^2 + b...

Suppose that the equation `f(x) = x^2 + bx + c = 0` has two distinct real roots `alpha` and `beta`. The angle between the tangent to the curve `y = f(x)` at the point `((alpha + beta)/2, f((alpha+beta)/2))` and the positive direction of the x-axis is

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