Question

How do I evaluate the expression x^2 + 6x − 6 at x = − 2 + i ?Write your answer in standard a+bi form

Answer 1

See explanation.

Explanation:

`x^2+6x-6=(i-2)^2+6(i-2)-6=`

`=(i^2-4i+4)+6i-12-6=`

`=-1-4i+4+6i-18=2i-15=-15+2i`