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5
2016 Team #5
2016 Team #5
Source:
August 17, 2022
2016
team test
Problem Statement
Given that
x
x
x
and
y
y
y
are real numbers, compute the minimum value of
x
4
+
4
x
3
+
8
x
2
+
4
x
y
+
6
x
+
4
y
2
+
10.
x^4+4x^3+8x^2+4xy+6x+4y^2+10.
x
4
+
4
x
3
+
8
x
2
+
4
x
y
+
6
x
+
4
y
2
+
10.
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