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JBMO TST - Moldova
2004 Junior Balkan Team Selection Tests - Moldova
1
x^2 + y^2 + z^2 <xy + 3y + 2z
x^2 + y^2 + z^2 <xy + 3y + 2z
Source: 2004 Moldova JBMO TST p1
February 20, 2021
inequalities
number theory
Problem Statement
Determine all triplets of integers
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
that validate the inequality
x
2
+
y
2
+
z
2
<
x
y
+
3
y
+
2
z
x^2 + y^2 + z^2 <xy + 3y + 2z
x
2
+
y
2
+
z
2
<
x
y
+
3
y
+
2
z
.
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