We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
174
4
avatar

Let $z = 2 e^{10 \pi i/21} $ and $w = e^{\pi i/7}$. Then what is \[|(z+w)^6|,\]the magnitude of $(z+w)^6$?

 Jan 11, 2019
 #1
avatar+27673 
+4

As follows:

 

 

(Can't help feeling there's probably a simpler way!)

 Jan 11, 2019
 #2
avatar+27673 
+3

Here's a simpler way!

 

.

Alan  Jan 11, 2019
 #3
avatar
+1

Better method Alan, but you've still missed the 2 at the front of z.

 Jan 11, 2019
 #4
avatar+27673 
+1

You are right!  But I'll leave it to someone else to include that!

Alan  Jan 11, 2019

6 Online Users

avatar