Lös ekvationen.

Hej!

Jag har fastnat på den här uppgiften.

Uppgiften lyder:

Jag gjorde så här:

$z^{3} = e^{3 + 3 i} z^{3} = e^{3} \times e^{3 i} |z^{3}| = |e^{3} \times e^{3 i}| |z^{3}| = r = e^{3} a r g (z^{3}) = a r g (e^{3} \times e^{3 i}) = 3 V L = z^{3} = r^{3} (\cos 3 v + i \sin 3 v) H L = e^{3} \times e^{3 i} = e^{3} (\cos 3 + i \sin 3) V L = H L d å r^{3} = e^{3} \Leftrightarrow r = e 3 v = 3 + n \times 2 π \Leftrightarrow v = 1 + n \times \frac{2 π}{3} v_{1} = 1, v_{2} = 1 + \frac{2 π}{3} v_{3} = 1 + \frac{4 π}{3} z_{1} = e (\cos 1 + isin 1) z_{2} = e (\cos 1 + \frac{2 π}{3} + isin 1 + \frac{2 π}{3}) z_{3} = e (\cos 1 + \frac{4 π}{3} + isin 1 + \frac{4 π}{3})$