(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Express the complex number in exp. form

[tex]-\frac{1}{2}(1+i\sqrt{3})[/tex]

Solve the following eqn:

[tex](w+2)^{4}=-\frac{1}{2}(1+i\sqrt{3})[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]e^{i\frac{\pi}{3}}[/tex]

[tex]w+2=e^{(\frac{\frac{\pi}{3}+2k\pi}{4})i}

=e^{(\frac{\pi}{12}+\frac{\pi}{2}k)i}

[/tex]

Such that k=0,1,2,3

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# Complex Number

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