3 It is given that \(z = x + \mathrm { i } y\), where \(x\) and \(y\) are real.
- Find, in terms of \(x\) and \(y\), the real and imaginary parts of
$$( z - \mathrm { i } ) \left( z ^ { * } - \mathrm { i } \right)$$
- Given that
$$( z - \mathrm { i } ) \left( z ^ { * } - \mathrm { i } \right) = 24 - 8 \mathrm { i }$$
find the two possible values of \(z\).