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Mathematics
Problem
The number of solutions of the equations
∣
z
−
(
4
+
8
i
)
∣
=
10
and
∣
z
−
(
3
+
5
i
)
∣
+
∣
z
−
(
5
+
11
i
)
∣
=
4
5
,
|z - (4 + 8i)| = \sqrt{10} \text{ and } |z - (3 + 5i)| + |z - (5 + 11i)| = 4\sqrt{5},
∣
z
−
(
4
+
8
i
)
∣
=
10
and
∣
z
−
(
3
+
5
i
)
∣
+
∣
z
−
(
5
+
11
i
)
∣
=
4
5
,
where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
.
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