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2019 BMT Spring
Tie 1
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2019 BMT Algebra Tiebreakers 1
Source:
January 6, 2022
algebra
Problem Statement
Compute the maximum real value of
a
a
a
for which there is an integer
b
b
b
such that
a
b
2
a
+
2
b
=
2019
\frac{ab^2}{a+2b} = 2019
a
+
2
b
a
b
2
=
2019
. Compute the maximum possible value of
a
a
a
.
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