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2014 Math Prize For Girls Problems
20
20
Part of
2014 Math Prize For Girls Problems
Problems
(1)
Math Prize 2014 Problem 20
Source:
9/29/2014
How many complex numbers
z
z
z
such that
∣
z
∣
<
30
\left| z \right| < 30
∣
z
∣
<
30
satisfy the equation
e
z
=
z
−
1
z
+
1
?
e^z = \frac{z - 1}{z + 1} \, ?
e
z
=
z
+
1
z
−
1
?
trigonometry
ceiling function
absolute value