Question 986688
{{{x^3+3x^2(iy)+3x(iy)^2+(iy)^3=y+vi}}}
{{{x^3+3ix^2y-3xy^2-iy^3=y+vi}}}
{{{x^3-3xy^2+i3x^2y-iy^3=y+vi}}}
{{{(x^3-3xy^2)+(3x^2-y^3)*i=y+vi}}}


Each member is in the form {{{a+bi}}} and corresponding coefficients can be equated.


{{{system(x^3-3xy^2=y,3x^2-y^3=v)}}}


Try finding a formula for {{{y/x}}} using the first equation; and try getting {{{v/y}}} using the second equation and see what more you can find from those.  ( I have not yet tried myself to finish this.)