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Multiple choice

The roots of the equation $t^3+3at^2+3bt+c=0$ are $z_1, z_2, z_3$ which represent the vertices of an equilateral triangle, then?

  1. $a^2=3b$
  2. $b^2=a$
  3. $a^2=b$
  4. $b^2=3a$
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