Consider the complex numbers in the complex plane below:

Some of these complex numbers are 54th roots of unity. Enter those complex numbers in any order, separated by commas. Use the letters to refer to the complex numbers; do not write them in or form.

Jamestown4dawin123 Apr 3, 2022

#2**+1 **

I think just v

\(\frac{360}{54}=6.\dot6\; degrees \)

So there will be a 54th root of 1 at 1+0i

then there will be one every 6.666.. degrees around the unit circle.

That graph is split into 24 sectors 360/24 = 15 degrees each

so we need integers such that 15x=6.666.. y where x is between 0 and 24 and x and y are both integers

The only one that works is 180 degrees

15*12 = 27*6.6666

So the only answer is v

Melody Apr 4, 2022