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Contests
National and Regional Contests
China Contests
XES Mathematics Olympiad
the 11th XMO
9
two variable inequality
two variable inequality
Source:
February 9, 2023
inequalities
trigonometry
algebra
Problem Statement
x
,
y
∈
R
,
(
4
x
3
−
3
x
)
2
+
(
4
y
3
−
3
y
)
2
=
1.
Find the maximum of
x
+
y
.
x,y\in\mathbb{R},(4x^3-3x)^2+(4y^3-3y)^2=1.\text { Find the maximum of } x+y.
x
,
y
∈
R
,
(
4
x
3
−
3
x
)
2
+
(
4
y
3
−
3
y
)
2
=
1.
Find the maximum of
x
+
y
.
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