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Purple Comet Problems
2016 Purple Comet Problems
12
Purple Comet 2016 HS Problem 12
Purple Comet 2016 HS Problem 12
Source:
April 12, 2018
Purple Comet
Problem Statement
Find the number whose reciprocal is the sum of the reciprocal of
9
+
15
i
9 + 15i
9
+
15
i
and the reciprocal of
9
ā
15
i
9-15i
9
ā
15
i
.
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