MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Stanford Mathematics Tournament
2023 Stanford Mathematics Tournament
8
SMT 2023 Algebra #8
SMT 2023 Algebra #8
Source:
May 3, 2023
inequalities
algebra
Problem Statement
If
x
x
x
and
y
y
y
are real numbers, compute the minimum possible value of
4
x
y
(
3
x
2
+
10
x
y
+
6
y
2
)
x
4
+
4
y
4
.
\frac{4xy(3x^2+10xy+6y^2)}{x^4+4y^4}.
x
4
+
4
y
4
4
x
y
(
3
x
2
+
10
x
y
+
6
y
2
)
.
Back to Problems
View on AoPS