



 
Alissa, It looks like you factored x^{2}  8x + 17 and got (x  4 + i)(x  4  i) and hence your quadratic equation x^{2}  8x + 17 became (x  4 + i)(x  4  i) = 0. At this point notice that you have two numbers (x  4 + i) and (x  4  i), and their product is zero. Thus one of the two numbers must be zero. That is either
or
If the first is true then add 4  i to each side to obtain x = 4  i. Similarly solve the second equation. I hope this helps,  


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