SOLUTION: Find the complex number z = a + bi such that z^3= 2 + 2i where a is less than or equal to 0 and b is greater than or equal to 0.
I really don't know how to approach this questio
Algebra.Com
Question 246256: Find the complex number z = a + bi such that z^3= 2 + 2i where a is less than or equal to 0 and b is greater than or equal to 0.
I really don't know how to approach this question but I'm guessing you have to use the definition (a + bi)(c + di) = (ac-bd)+(ad+bc)i?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: Convert the complex number into polar form where 'r' is the magnitude and 'x' is the angle. From there, use a variation of De Moivre's Theorem. Let me know if this helps or not.
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