Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

AoPS Wiki:Problem of the Day/September 11, 2011

< AoPS Wiki:Problem of the Day
Revision as of 12:07, 11 September 2011 by Negativebplusorminus (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Find the number of ordered pairs of real numbers $(a,b)$ such that $(a + bi)^{2002} = a - bi$.

$\textbf{(A)}$ 1001 $\textbf{(B)}$ 1002 $\textbf{(C)}$ 2001 $\textbf{(D)}$ 2002 $\textbf{(E)}$ 2004

Source: AMC 12

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Problem_of_the_Day/September_11,_2011&oldid=42290"