SOLUTION: find a quadratic equation with roots (4+i) and (4-i)

Question 203582: find a quadratic equation with roots (4+i) and (4-i)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find a quadratic equation with roots (4+i) and (4-i)
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f(x) = (x-(4+i))(x-(4-i))
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f(x) = ((x-4)-i)((x-4)+i)
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f(x) = (x-4)^2 - i^2
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f(x) = (x^2-8x+16 + 1
f(x) = x^2 - 8x + 17
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Cheers,
Stan H.
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