Complex numbers

  • Thread starter forty
  • Start date
  • #1
135
0
It's been a long time since I've had to do this stuff so bare with me!

Compute and graph the following:

(a) -15+i/4+2i (multiply by the conjugate and I got -2.9+1.7i

(b) (271/3)4 Now for some reason I have a feeling this has 3 solutions using complex numbers but can not figure them out, I've tried using polar coordinates and tried googling/wikipedia for help on this I'm just really stuck.

(c) 27(4 + 1/3) I presume this can also have 3 solutions if i split it up into 271/3 times 274

Any help on this greatly appreciated.
 

Answers and Replies

  • #2
jmb
67
1
(a) -15+i/4+2i (multiply by the conjugate and I got -2.9+1.7i

That's correct.

(b) (271/3)4 Now for some reason I have a feeling this has 3 solutions using complex numbers but can not figure them out, I've tried using polar coordinates and tried googling/wikipedia for help on this I'm just really stuck.

To start, try considering the simpler [itex]z=27^{1/3}[/itex] and then writing [itex]z[/itex] out in exponential form...

Let me know if that hint isn't enough.

(c) 27(4 + 1/3) I presume this can also have 3 solutions if i split it up into 271/3 times 274

It sounds like once you have done (b) you should be able to do this.
 

Related Threads on Complex numbers

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
774
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
11
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
911
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
12
Views
1K
  • Last Post
Replies
4
Views
2K
Top