Online Course Discussion Forum

Math Challenge III (AIME) Summer 2017 (Algebra)

 
 
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Math Challenge III (AIME) Summer 2017 (Algebra)
by Kelvin Lee - Tuesday, July 4, 2017, 4:05 PM
 

Hi, I need some help with problem 2.18 on complex numbers. Thanks.

 
Picture of Christopher Wu
Re: Math Challenge III (AIME) Summer 2017 (Algebra)
by Christopher Wu - Tuesday, July 11, 2017, 11:20 AM
 

 draw the unit circle and look at all the points that a 7th root of unity could be. use the fact that for a root of unity, the conjugate of z is 1/z