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z^4= 1/2 + i sqrt(3)/2
I start by transforming into polar form:
z^4 = e^(i*Pi/3)
But then I'm blank.
I start by transforming into polar form:
z^4 = e^(i*Pi/3)
But then I'm blank.
Have you tried De Moivre's formula ?z^4= 1/2 + i sqrt(3)/2
I start by transforming into polar form:
z^4 = e^(i*Pi/3)
But then I'm blank.
yes, and from De Moivre's formula we get the general:I believe the complex root is defined by (that is: it's usually continued from the real function by)
[tex] \sqrt{r e^{i \phi}} = \sqrt{r} e^{i \phi / 2} [/tex]
yes, and from De Moivre's formula we get the general:
[tex] z^{1/n} = r^{1/n}*exp(i \phi / n) [/tex]