Question 1407

Complex Numbers

2007 Paper 1 Question 3 Variant

Question

The complex number

{w}

is such that

{ww^* + 8 w = - 6 - 24 \mathrm{i},}

where

{w^*}

is the complex conjugate of

{w.}

Find

{w}

in the form

{a+\mathrm{i}b,}

where

{a}

and

{b}

are real.

[4]