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Let omega be the complex number cos(2pi/...

Let `omega` be the complex number `cos(2pi/3)+isin(2pi/3)` Then the number of distinct complex numbers z satisfying `abs[[z+1,omega,omega^2],[omega,(z+omega^2),1],[omega^2,1 ,z+omega]]=0` is equals to

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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