Question 824271: find a quadratic equation with roots -1-4i and -1+4i please help!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find a quadratic equation with roots -1-4i and -1+4i
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f(x) = (x-(-1-4i))(x-(-1+4i))
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= ((x+1)+4i)((x+1)-4i)
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= (x+1)^2 - (4i)^2
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= (x+1)^2 + 16
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= x^2 + 2x + 17
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Cheers,
Stan H.
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