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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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