- #1
icystrike
- 445
- 1
Homework Statement
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]
Homework Equations
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