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2020 BMT Fall
Tie 3
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2020 BMT Algebra Tiebreakers 3
Source:
January 6, 2022
algebra
Problem Statement
Let
x
x
x
and
y
y
y
be integers from
−
10
-10
−
10
to
10
10
10
, inclusive, with
x
y
≠
1
xy \ne1
x
y
=
1
. Compute the number of ordered pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
such that \left| \frac{x + y}{1 - xy} \right|\le 1.
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