Difference between revisions of "2017 AMC 12A Problems/Problem 17"
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Revision as of 15:17, 8 February 2017
Problem
There are different complex numbers
such that
. For how many of these is
a real number?
Solution
Note that these such that
are
for integer
. So
This is real iff is even
. Thus, the answer is the number of even
which is
.