2015 AMC 12A Problems/Problem 10
Problem
Integers and
with
satisfy
. What is
?
Solution
Use SFFT to get . The terms
and
must be factors of
, which include
. Because
,
is equal to
or
. But if
, then
and so
.
Video Solution by OmegaLearn
https://youtu.be/ba6w1OhXqOQ?t=4512
~ pi_is_3.14
See Also
2015 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 9 |
Followed by Problem 11 |
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All AMC 12 Problems and Solutions |