[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]

2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

File: 1.94 MB, 300x322, 1234423.gif [View same] [iqdb] [saucenao] [google]

5587603

Anonymous Wed Mar 6 08:34:27 2013 No.5587603 [Reply] [Original]

Okay, i need help with this question.

Solve z^3=2-2i over C

I don't quite understand how to do this

>>	Anonymous Wed Mar 6 08:38:57 2013 No.5587608 >>5587603 write z = Ae^ib

>>	Anonymous Wed Mar 6 08:42:55 2013 No.5587611 >>5587608 The way i tried was RcisA and use demoivre theorem. I get the R value(modulus) but cant figure out A(argument)

>>	Anonymous Wed Mar 6 08:44:40 2013 No.5587614 >>5587611 sorry, forgot to write z=RcisA

>>	Anonymous Wed Mar 6 08:52:55 2013 No.5587626 >>5587611 if b is argument of z then b/3, (b+2pi)/3 and (b+4pi)/3 are the roots' arguments

>>	Anonymous Wed Mar 6 08:55:41 2013 No.5587629 >>5587626 Ok, how did you get to that conclusion?

>>	Anonymous Wed Mar 6 08:58:11 2013 No.5587634 >>5587629 Demoivre's theorem.

>>	Anonymous Wed Mar 6 09:04:26 2013 No.5587646 >>5587634 Yes i see were i went wrong, thank you