1.

Let ω be the complex number cos2π3+isin2π3. Then the number of distinct complex numbers z satisfying ∣∣∣∣∣z+1ωω2ωz+ω21ω21z+ω∣∣∣∣∣=0 is equal to

Answer» Let ω be the complex number cos2π3+isin2π3. Then the number of distinct complex numbers z satisfying ∣∣
∣
∣
∣
z+1ωω2ωz+ω21ω21z+ω∣∣
∣
∣
∣
=0
is equal to


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