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National and Regional Contests
Bulgaria Contests
Bulgaria National Olympiad
2019 Bulgaria National Olympiad
1
One variable inequality
One variable inequality
Source: Bulgaria National Olympiad 2019
April 20, 2019
Inequality
inequalities
Problem Statement
Let
f
(
x
)
=
x
2
+
b
x
+
1
,
f(x)=x^2+bx+1,
f
(
x
)
=
x
2
+
b
x
+
1
,
where
b
b
b
is a real number. Find the number of integer solutions to the inequality
f
(
f
(
x
)
+
x
)
<
0.
f(f(x)+x)<0.
f
(
f
(
x
)
+
x
)
<
0.
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