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Mathematics
Mathematics
Problem
If the coordinates
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
of the point
S
S
S
which is equidistant from the points
O
(
0
,
0
,
0
)
,
A
(
n
5
,
0
,
0
)
,
B
(
0
,
n
4
,
0
)
,
C
(
0
,
0
,
n
)
O(0, 0, 0), A(n^5, 0, 0), B(0, n^4, 0), C(0, 0, n)
O
(
0
,
0
,
0
)
,
A
(
n
5
,
0
,
0
)
,
B
(
0
,
n
4
,
0
)
,
C
(
0
,
0
,
n
)
obey the relation
2
(
x
+
y
+
z
)
+
1
=
0
2(x + y + z) + 1 = 0
2
(
x
+
y
+
z
)
+
1
=
0
. If
n
∈
Z
n \in \mathbb{Z}
n
∈
Z
, then
∣
n
∣
=
|n| =
∣
n
∣
=
_____ (|.| is the modulus function).
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