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iop360 Group TitleBest ResponseYou've already chosen the best response.0
\[z^3 = 27i\] Answers are: \[z = 3i\] \[z = \frac{ 3\sqrt{3} }{ 2 }  \frac{ 3i }{ 2 }\] \[z = \frac{ 3\sqrt{3} }{ 2 }  \frac{ 3i }{ 2 }\]
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.0
http://au.answers.yahoo.com/question/index?qid=20100318052317AAjz850
 one year ago

mayankdevnani Group TitleBest ResponseYou've already chosen the best response.0
ok @iop360
 one year ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.0
dw:1353827474036:dw
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
how did you get pi/6?
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
i cant read the stuff at the top...
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
\[\huge i = e^{(3\pi/2 + 2n\pi)}\]\[\huge z^3 = 3^3e^{(3\pi/2 + 2n\pi)}\]
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
\[\huge z=\sqrt[3]{3^3}e^{(\large \frac{ 3\pi }{ 2 }+2n \pi)/3},\text{ } n=0,1,2\]
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
how did you set up your first equation?
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
\[\huge z=3e^{\frac{ 3 \pi }{ 6 }+\frac{ 2 \pi }{ 3 }n},\text { }n=0,1,2\]
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
dw:1353828234574:dw
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
can you please explain your steps
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
for example, the 3pi/2 in the brackets
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
it's in the unit circle drawn above
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
lemme try it
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
do you use eulers equation? z = r(cos(angle) + i sin(angle))
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
yes, just slightly different notation \[re^{x i}=r(\cos x + i \sin x)\] dw:1353828628571:dw
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
thank you, it works!
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
only 1 question though, for your first equation i = ... if you have a negative i, does that always mean 3pi/2
 one year ago
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