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The roots z1, z2, z3 of the equation x^3...

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 points A, B, C. Show triangle will be an equilateral triangle if `a^2=b`.

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