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Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
11.1
x^5 + ... + (x + 1998)^5 = 0 (V Soros Olympiad 1998-99 Round 1 11.)
x^5 + ... + (x + 1998)^5 = 0 (V Soros Olympiad 1998-99 Round 1 11.)
Source:
May 25, 2024
algebra
Problem Statement
Solve the equation
x
5
+
(
x
+
1
)
5
+
(
x
+
2
)
5
+
.
.
.
+
(
x
+
1998
)
5
=
0.
x^5 + (x + 1)^5 + (x + 2)^5 + ... + (x + 1998)^5 = 0.
x
5
+
(
x
+
1
)
5
+
(
x
+
2
)
5
+
...
+
(
x
+
1998
)
5
=
0.
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