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1
SMT 2022 Algebra Tiebreaker #1
SMT 2022 Algebra Tiebreaker #1
Source:
March 28, 2023
inequalities
algebra
Problem Statement
If
x
x
x
,
y
y
y
, and
z
z
z
are real numbers such that
x
2
+
2
y
2
+
3
z
2
=
96
x^2+2y^2+3z^2=96
x
2
+
2
y
2
+
3
z
2
=
96
, what is the maximum possible value of
x
+
2
y
+
3
z
x+2y+3z
x
+
2
y
+
3
z
?
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