MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
CMIMC Problems
2021 CMIMC
11
2021 Team P11
2021 Team P11
Source:
March 2, 2021
algebra
Problem Statement
The set of all points
(
x
,
y
)
(x,y)
(
x
,
y
)
in the plane satisfying
x
<
y
x<y
x
<
y
and
x
3
−
y
3
>
x
2
−
y
2
x^3-y^3>x^2-y^2
x
3
−
y
3
>
x
2
−
y
2
has area
A
A
A
. What is the value of
A
A
A
?Proposed by Adam Bertelli
Back to Problems
View on AoPS