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Mathematics
Problem
If
∣
z
−
4
z
∣
=
2
\left| z - \frac{4}{z} \right| = 2
z
−
z
4
=
2
, the greatest value of
∣
z
∣
|z|
∣
z
∣
is a.
5
−
1
\sqrt{5} - 1
5
−
1
b.
3
+
1
\sqrt{3} + 1
3
+
1
c.
5
+
1
\sqrt{5} + 1
5
+
1
d.
3
−
1
\sqrt{3} - 1
3
−
1
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