I know its not acceptable to have i in the denominator of an equation, however I'm not sure what to do when I have -i, do I need to get rid of the - (negative sign) sign?
My example is that using the quadratic I've gotten to this point z= (–2 – i ± sqrt(3))/2i. I know I need to get rid of the i in the denominator so I multiply the whole thing by i/i then I get -i + 1/2 ± (i*sqrt(3))/2. I'm wondering if I need to get rid of the negative sign in front of the i or if I'm doing something wrong, or can i just leave it as is.
The questions starts out as iz^2 + (2 + i)z + 1. Using the quadratic equation it becomes z= (-2 - i ± sqrt(3))/2i. I know I need to get rid of the i in the denominator by multiplying the whole problem by i/i. I *believe* this leaves me with -i + 1/2 ± (i*sqrt(3))/2.
My question is A) am I wrong and B) if not then what do I do (if anyhting with -i?
I think I'm just confused.