Question

Use DeMoivre's Theorem to find all complex solutions. Express in rectangular form. Help???
x^3-i=0

Answer 1

Will give a medal for any help!

Answer 2

plz just need some advice...

Answer 3

try this one: http://college.cengage.com/mathematics/larson/elementary_linear/4e/shared/downloads/c08s3.pdf
I'm looking in to it... its been a while :)

Answer 4

thanks

Answer 5

Express the result in rectangular form. ... is equivalent to the polar form

Answer 6

ok I got that...

Answer 7

this one is good! - check example #4:
http://mathonweb.com/help_ebook/html/complex_2.htm

Answer 8

Let\[z ^{3}=i\]\[z _{1}=\cos(\pi/4)+i \sin (\pi/4)\]\[=(\sqrt{2}/2)+(\sqrt{2}/2)i\]

Answer 9

\[z _{2}=\cos (5\pi/4)+i \sin (5\pi/4)\]\[=(-\sqrt{2}/2)-(\sqrt{2}/2)i\]

Answer 10

\[z _{3}=\cos (9\pi/4)+i \sin (9\pi/4)\]=same as z(1)