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2021 USMCA
15
2021 USMCA National Championship #15
2021 USMCA National Championship #15
Source:
May 9, 2021
Problem Statement
Find the sum of all real values of
A
A
A
such that the equation
A
x
y
+
25
x
2
+
25
y
2
−
20
x
−
22
y
+
5
=
0
Axy+25x^2+25y^2-20x-22y+5=0
A
x
y
+
25
x
2
+
25
y
2
−
20
x
−
22
y
+
5
=
0
has a unique solution in real numbers
(
x
,
y
)
(x,y)
(
x
,
y
)
.
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