SOLUTION: If z = x+iy , z³-z²= 4+8i then z=.....

Question 1205770: If z = x+iy
, z³-z²= 4+8i then z=.....

Answer by ikleyn(52756) (Show Source): You can put this solution on YOUR website!
.


I can guess one possible value of z mentally

    z = -2i.


Then   =  =  = (-8)*i*(-1) = 8i

and

       =  =  = -4,

so

     -  = 8i + 4 = 4 + 8i.

Solved (one value of z is guessed).

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