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Soros Olympiad in Mathematics
II Soros Olympiad 1995 - 96 (Russia)
10.1
x^2-ax +21 = 0 (II Soros Olympiad 1997-98 R3 10.1)
x^2-ax +21 = 0 (II Soros Olympiad 1997-98 R3 10.1)
Source:
June 6, 2024
algebra
Problem Statement
Find the smallest
a
a
a
for which the equation
x
2
ā
a
x
+
21
=
0
x^2-ax +21 = 0
x
2
ā
a
x
+
21
=
0
has a root that is a natural number.
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