There exists a complex number of the form z = x + yi, where x and y are positive integers, such that

z^3 + 14 = -74 + ci,

for some integer c. Find z.

Guest Jun 11, 2021

#1**+1 **

z^3-ci = -88 so that means that the imaginary part of z^3 is c and than the real part of z^3 is -88. So, x^3-3xy^2 = -88 so x=2,y=4 which means z=2+4i

ilovepizza547 Jun 12, 2021