Ok there is no way I am writing out all the work of this question using a keyboard, and my scanner chose today not to work ( yes, it chose to be an idiot and not work *VERY* grumpy face) so I can't upload a picture of my work. If I were to type out the following it think it would be very difficult to read SOOO I will try to make a description as friendly as possible.(adsbygoogle = window.adsbygoogle || []).push({});

I have the equation x^2 + 3x + 7

It has complex roots x = -2/3 + i√19 and x = -2/3 - i√19

I try evaluating these roots by plugging them back in. I try it two ways, and I am only trying out right now the positive root. I am having a problem already at the x^2 term.

THE PROBLEM:

To multiply the positive root by itself, I first try the "from the ground up" method of just distributing, and eventually making a substitution of -1 for i^2. After making that substitution, the point is that I end up subtracting the term that had the i^2, from 9/4. After simplifying, I have real component -10/4 and complex component (-6i√19)/4

The second way I try to evaluate x^2 term is by using the multiplication definition of complex numbers (a + bi)(c + di) = (ac - bd) + (bc + ad)i . This results in me ADDING the same kind of complex part to the same real part...and

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# Multiplying complex numbers

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