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Brazil Undergrad MO
2018 Brazil Undergrad MO
19
19
Part of
2018 Brazil Undergrad MO
Problems
(1)
Number of Complex Solutions
Source: Brazil Undergrad MO - Galois-Noether 2018 #19
11/26/2019
What is the largest amount of complex
z
z
z
solutions a system can have?
∣
z
−
1
∣
∣
z
+
1
∣
=
1
| z-1 || z + 1 | = 1
∣
z
−
1∣∣
z
+
1∣
=
1
I
m
(
z
)
=
b
?
Im (z) = b?
I
m
(
z
)
=
b
?
(where
b
b
b
is a real constant)
complex numbers
calculus
Brazilian Undergrad MO