Mock AIME 1 2006-2007 Problems/Problem 6
6. Let and
be two parabolas in the cartesian plane. Let
be the common tangent of
and
that has a rational slope. If
is written in the form
for positive integers
where
. Find
.
6. Let and
be two parabolas in the cartesian plane. Let
be the common tangent of
and
that has a rational slope. If
is written in the form
for positive integers
where
. Find
.
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