2021 AMC 12B Problems/Problem 18
Problem 18
Let be a complex number satisfying
What is the value if
Solution
Solution 1
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
~Lopkiloinm