SOLUTION: How do you find the quadratic equation with integral coefficients and with roots 7 ± i?

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Question 177506: How do you find the quadratic equation with integral coefficients and with roots 7 ± i?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Generally we work from the quad to the factors. We are just working backwards into the quadratic equation so we start with the factors. Since each of these are roots, we can set them equal to zero)Then we multiply the terms out to get the equation.
:
%28x-%287%2Bi%29%29%28x-%287-i%29%29=0
:
%28x-7-i%29%28x-7%2Bi%29=0
:
x%5E2-7x%2Bix-7x%2B49-7i-ix%2B7i-i%5E2
:
x%5E2-14x%2B49%2B1
:
highlight%28x%5E2-14x%2B50%29