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iop360Best 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

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

mahmit2012Best ResponseYou've already chosen the best response.0
dw:1353827474036:dw
 one year ago

iop360Best ResponseYou've already chosen the best response.0
i cant read the stuff at the top...
 one year ago

sirm3dBest 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

sirm3dBest 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

iop360Best ResponseYou've already chosen the best response.0
how did you set up your first equation?
 one year ago

sirm3dBest 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

iop360Best ResponseYou've already chosen the best response.0
can you please explain your steps
 one year ago

iop360Best ResponseYou've already chosen the best response.0
for example, the 3pi/2 in the brackets
 one year ago

sirm3dBest ResponseYou've already chosen the best response.2
it's in the unit circle drawn above
 one year ago

iop360Best ResponseYou've already chosen the best response.0
do you use eulers equation? z = r(cos(angle) + i sin(angle))
 one year ago

sirm3dBest 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

iop360Best 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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