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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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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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