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2019 Junior Balkan Team Selection Tests - Moldova
6
Moldova JTST 2019 P6
Moldova JTST 2019 P6
Source: Moldova JTST 2019
April 19, 2019
number theory
Problem Statement
Let
p
p
p
and
q
q
q
be integers. If
k
2
+
p
k
+
q
>
0
k^2+pk+q>0
k
2
+
p
k
+
q
>
0
for every integer
k
k
k
, show that
x
2
+
p
x
+
q
>
0
x^2+px+q>0
x
2
+
p
x
+
q
>
0
for every real number
x
x
x
.
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