2021 AMC 12B Problems/Problem 18
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Problem 18
Let be a complex number satisfying
What is the value if
The answer being in the form means that there are two solutions, some complex number and its complex conjugate.
. We should then be able to test out some ordered pairs of (a, b). After testing it out, we get the ordered pairs of
and its conjugate
. Plugging this into answer format gives us