SOLUTION: Find a quadratic equation with roots -1 + 4i and -1

SOLUTION: Find a quadratic equation with roots -1 + 4i and -1 - 4i.

Question 196687: Find a quadratic equation with roots -1 + 4i and -1 - 4i.
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))
Rearrange:
f(x) = [(x+1)-4i][(x+1)+4i]
f(x) = (x+1)^2 - (4i)^2
f(x) = x^2 + 2x + 1 + 16
f(x) = x^2 + 2x + 17
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Cheers,
Stan H.
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