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Let z and w be two compex numbers such that w=z¯z−2z+2, ∣∣∣z+iz−3i∣∣∣=1 and Re(w) has minimum value. Then the minumum value of n∈N for which wn is real, is equal to

Answer» Let z and w be two compex numbers such that w=z¯z2z+2, z+iz3i=1 and Re(w) has minimum value. Then the minumum value of nN for which wn is real, is equal to


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