# An Imaginary Triangle

Algebra Level 3

If the roots of $$ax^3+ax^2+ax, a\neq0$$ are plotted on the Argand plane, the area of the triangle enclosed by them is given by $$\frac{\sqrt{b}}{c^2}$$, where $$b,c$$ are positive, square-free integers. Find $$b+c$$

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