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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a
62
b
155
c
221
d
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