Will you please help me solve this equation.
Solve this equation in the complex number system:x^3-8=0
I have only a real number answer, which is 2. How to solve it in complex numbers?
Thank you
You could take the more 'complex' route and use:
$\displaystyle w=-2\left(cos(\frac{\pi}{3}+\frac{2k{\pi}}{3})+isin(\ frac{\pi}{3}+\frac{-2k{\pi}}{3})\right)$, k=0,1,2
Let k=0 and get $\displaystyle w=-1-\sqrt{3}i$
k=1: $\displaystyle w=2$
k=2: $\displaystyle w=-1+\sqrt{3}i$