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2019 BMT Spring
6
Return of the Circle (BMT 2019 Algebra #6)
Return of the Circle (BMT 2019 Algebra #6)
Source:
May 5, 2019
Problem Statement
Find the maximum value of
x
y
\dfrac{x}{y}
y
x
if
x
x
x
and
y
y
y
are real numbers such that
x
2
+
y
2
−
8
x
−
6
y
+
20
=
0
x^2 + y^2 - 8x - 6y + 20 = 0
x
2
+
y
2
−
8
x
−
6
y
+
20
=
0
.
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