let z = x + iyhttp://maxpapers.com/wp-content/uploads/2012/11/9709_w14_qp_32.pdf
Q5 part 2 can u pls solve and explain
x + iy = x + iy + i/(i(x+iy) + 2)
(x + iy)(i(x+iy)+2) = x + iy + i
simplify
i(x^2 - y^2 + y) -2xy +x = i
Equate real and imaginary parts
-2xy +x = 0 ----1
x^2 - y^2 + y = 1 ----2
From 1
y = 0.5
use in 2
x = -sqrt3/2 (since the question mentions that the real part is negative)
z = -sqrt3/2 + (1/2)i