# Difference between revisions of "2012 AIME II Problems/Problem 6"

(Created page with "Let z=a+bi be the complex number with |z|=5 and b>0 such that the distance between (1+2i)z3 and z5 is maximized, and let z4=c+di. Find c+d") |
Williamhu888 (talk | contribs) |
||

Line 1: | Line 1: | ||

− | 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 16:07, 31 March 2012

## Problem 6

Let be the complex number with and such that the distance between and is maximized, and let . Find .