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anonymous
 5 years ago
Complex numbers: how do i solve the complex equation: z^3 + z1*z = 0, where z1 = sqrt(3) + i?
anonymous
 5 years ago
Complex numbers: how do i solve the complex equation: z^3 + z1*z = 0, where z1 = sqrt(3) + i?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0z1= 2e^(ipi/6) z(z^2 + z1)=0 z=0 or z = root(z1) z=0 or z=ie^(ipi/12)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry its 0 or 1.414ie^(ipi/12)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0think there should be three solutions since polynomial has degree 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the second soln has a + and 

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[z(z^2+(\sqrt{3}+i))=o\] \[z=0\] or \[ z=\pm \sqrt{\sqrt{3}i}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{3}i=2[cos(\frac{7\pi}{6})+i sin(\frac{7\pi}{6})]=2e^{\frac{7\pi}{6}i}\] unless i made a mistake somewhere.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so root is \[\sqrt{2}e^{\frac{7\pi}{12}}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or \[\sqrt{2}e^{\frac{19\pi}{12}}\]
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