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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
9.4
x^2+ax+1996=0, x^2+1996x+a=0 (III Soros Olympiad 1996-97 R2 9.4)
x^2+ax+1996=0, x^2+1996x+a=0 (III Soros Olympiad 1996-97 R2 9.4)
Source:
May 31, 2024
algebra
Problem Statement
At what values of
a
a
a
does each of the equations
x
2
+
a
x
+
1996
=
0
x^2 + ax + 1996 = 0
x
2
+
a
x
+
1996
=
0
or
x
2
+
1996
x
+
a
=
0
x^2 + 1996x + a = 0
x
2
+
1996
x
+
a
=
0
have two integer roots?
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