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Complex Numbershard
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If z1,z2z_1, z_2z1​,z2​ are roots of z2+az+b=0z^2 + az + b = 0z2+az+b=0 (a,b∈Ca, b \in \mathbb{C}a,b∈C), what is the condition that the triangle with vertices 0,z1,z20, z_1, z_20,z1​,z2​ is equilateral?