# Cubic equation's determinant

Algebra Level 3

If $$\alpha , \beta \text{ & } \gamma$$ are the roots of the equation

$x^3 + ax^2 + b = 0$

find the value of $$\begin{vmatrix} \alpha & \beta & \gamma \\ \beta & \gamma & \alpha \\ \gamma & \alpha & \beta \\ \end{vmatrix}$$.

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