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Baltic Way
2016 Baltic Way
7
Inequality and a constant
Inequality and a constant
Source: Baltic Way 2016, Problem 7
November 5, 2016
inequalities
Problem Statement
Find all positive integers
n
n
n
for which
3
x
n
+
n
(
x
+
2
)
−
3
≥
n
x
2
3x^n + n(x + 2) - 3 \geq nx^2
3
x
n
+
n
(
x
+
2
)
−
3
≥
n
x
2
holds for all real numbers
x
.
x.
x
.
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