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## Homework Statement

x^2 + (1-i)x + (-6 + 2i) = 0, solve in terms of a + bi

## Homework Equations

## The Attempt at a Solution

Here's what I have so far... But I could be wrong.

x = -(x-xi) +/- sqrt[ (x-xi)^2 - 4(-6 + 2i) ] / 2

x = -(x-xi) +/- sqrt[ (x^2 - 2xi + xi^2) + 24 - 8i ] / 2

I'm having trouble simplifying this part. Did I do something wrong?