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Multiple choice

The roots of the equation $(z+\alpha \beta)^{3}=\alpha^{3},\alpha \neq \alpha \neq 0$, represent the vertices of an equilateral triangle of side

  1. $\dfrac {1}{\sqrt {3}}|\alpha \beta|$
  2. ${\sqrt {3}}|\alpha|$
  3. ${\sqrt {3}}|\beta|$
  4. $\dfrac {1}{\sqrt {3}}|\alpha|$
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