MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2017 ASDAN Math Tournament
16
16
Part of
2017 ASDAN Math Tournament
Problems
(1)
2017 Guts #16
Source:
11/25/2022
Let
x
x
x
and
y
y
y
be real numbers satisfying
9
x
2
+
16
y
2
=
144
9x^2+16y^2=144
9
x
2
+
16
y
2
=
144
. What is the maximum possible value of
x
y
xy
x
y
?
2017
Guts Round