Find all complex numbers z so that z^{3 }= -8i. I know I have to do something with polar form, but I'm really lost.
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If , then . Note that . So you need to find all such that . There are three such . And, of course, you need to find .
Originally Posted by biggerleaffan Find all complex numbers z so that z^{3 }= -8i. I know I have to do something with polar form, but I'm really lost. This is posted in basic algebra forum. Reply #2 is correct but advanced. Notation: So Let , so . We have one root. Let , then you need to show that are the other two roots.
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