# Equilateral Triangle :Beware it complex

Algebra Level pending

The roots $$z_1,z_2,z_3$$ of the equation $$x^3+3ax^2+3bx+c=0$$ in which a,b,c are complex numbers correspond to the points A,B,C on the Guassian plane.It will be equilateral if $$a^k=b$$.Find k.

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