Complex numbers

Question code: 1852

Question 1302

The complex number z{z} is such that zz+8z=69+16i,{zz^* + 8 z = 69 + 16 \mathrm{i},} where z{z^*} is the complex conjugate of z.{z.} Find z{z} in the form x+yi,{x+y \mathrm{i},} where x{x} and y{y} are real.
[4]
Answer
z=5+2i.{z = 5 + 2 \mathrm{i}.}
Question code: 1852