Let n be a positive integer and a complex number with unit modulus is a solution of the equation zn+z+1=0 then which of following is not the value of n

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155

221

196

answer is D.

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Detailed Solution

as we know 1+w+w2=0 ( w is cube roots of unity)if z=w then1+z+zn=0 ⇒1+w+wn=0wn=w2