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1988 Canada National Olympiad
1
For what values there is a common zero? [Canada 1988 - P1]
For what values there is a common zero? [Canada 1988 - P1]
Source:
October 3, 2011
number theory
greatest common divisor
quadratics
algebra
polynomial
Problem Statement
For what real values of
k
k
k
do
1988
x
2
+
k
x
+
8891
1988x^2 + kx + 8891
1988
x
2
+
k
x
+
8891
and
8891
x
2
+
k
x
+
1988
8891x^2 + kx + 1988
8891
x
2
+
k
x
+
1988
have a common zero?
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