if it is X + iY,then the sol is:
X +iY=(x+iy)^1/3
(X + iY) = x + iy
X^3 + i^3Y^3 + 3X^2iY + 3X^2 *i^2*Y^2 = x + iy
equate real and img part separately,
x = X^3 - 3XY^2
y = 3X^2Y - Y^3
thus in the eqn,
x/X+y/Y = (X^3 - 3XY^2)/X + (3X^2Y - Y^3)/Y
= X^2 - 3Y^2 + 3X^2 - Y^2
= 4X^2 - 4Y^2
= 4(X^2 - Y^2)
hope u understood this ,
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