SOLUTION: Find a quadratic equation with roots ( 4 + i ) and (4 - i ). PLEASE!!!

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Question 92073This question is from textbook algebra and trigonometry
: Find a quadratic equation with roots ( 4 + i ) and (4 - i ). PLEASE!!! This question is from textbook algebra and trigonometry

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if r is a root, then (x-r) is a factor ... (x-(4+i))(x-(4-i))=0 ... (x-4-i)(x-4+i)=0

multiplying gives x^2-4x+ix-4x+16-4i-ix+4i-i^2=0 ... x^2-8x+17=0