Please answer the following questions about complex numbers:

06. [Maximum mark: 6] Given that z is the complex number x + iy and that z + z =6-2i, find the value of x and the value of y . 07. Part A [Maximum mark: 12] (a) Given that (x tiy) =-5+12i, x, ye R. Show that (i) x - y =-5; (ii) xy = 6. [2 marks] (b) Hence find the two square roots of -5+12i . [5 marks] (c) For any complex number z, show that (z*) = (z?)*. [3 marks] (d) Hence write down the two square roots of -5-12i. [2 marks]