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complex?

Name: Anonymous 2008-12-17 18:03

how do i solve the complex number z in the equation

(z-1)^3=8i

Name: Anonymous 2008-12-18 10:21

>>2
Moron

>>1

Take cube roots, and if you let u be any third root of i (you should be able to figure one out explicitly somehow) and w a third root of 1 (i.e. (-1+sqrt(-3))/2) then the solutions are:

z = 1+8*u
z = 1+8*w*u
z = 1+8*w^2*u

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