Difference between revisions of "2012 AIME II Problems/Problem 6"
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| − | Let z=a+bi be the complex number with | + | == Problem 6 == |
| + | Let <math>z=a+bi</math> be the complex number with <math>\vert z \vert = 5</math> and <math>b > 0</math> such that the distance between <math>(1+2i)z^3</math> and <math>z^5</math> is maximized, and let <math>z^4 = c+di</math>. Find <math>c+d</math>. | ||
Revision as of 15:07, 31 March 2012
Problem 6
Let 
be the complex number with 
and 
such that the distance between 
and 
is maximized, and let 
. Find 
.
