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Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
11.5
x^4 - 5x + a = 0 (V Soros Olympiad 1998-99 Round 3 11.5)
x^4 - 5x + a = 0 (V Soros Olympiad 1998-99 Round 3 11.5)
Source:
May 26, 2024
algebra
Problem Statement
Find all values of the parameter
a
a
a
for which the sum of all solutions (meaning real solutions) of the equation
x
4
ā
5
x
+
a
=
0
x^4 - 5x + a = 0
x
4
ā
5
x
+
a
=
0
is equal to
a
a
a
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