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16
2017 Guts #16
2017 Guts #16
Source:
November 25, 2022
2017
Guts Round
Problem Statement
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
?
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