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Chennai Mathematical Institute B.Sc. Entrance Exam
2024 CMI B.Sc. Entrance Exam
3
A lot of z
A lot of z
Source: CMI 2024
May 19, 2024
complex numbers
algebra
Problem Statement
(a) FInd the number of complex roots of
Z
6
=
Z
+
Z
ˉ
Z^6 = Z + \bar{Z}
Z
6
=
Z
+
Z
ˉ
(b) Find the number of complex solutions of
Z
n
=
Z
+
Z
ˉ
Z^n = Z + \bar{Z}
Z
n
=
Z
+
Z
ˉ
for
n
∈
Z
+
n \in \mathbb{Z}^+
n
∈
Z
+
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