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Putnam
1948 Putnam
A1
Putnam 1948 A1
Putnam 1948 A1
Source: Putnam 1948
March 15, 2022
Putnam
complex numbers
inequalities
Problem Statement
What is the maximum of
∣
z
3
−
z
+
2
∣
|z^3 -z+2|
∣
z
3
−
z
+
2∣
, where
z
z
z
is a complex number with
∣
z
∣
=
1
?
|z|=1?
∣
z
∣
=
1
?
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