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Algebra

Which quadratic equation has roots -1+4i and -1-4i ?
A. x^2+2x+2=0
B. 2x^2+x+17=0
C. x^2+2x+17=0
D. 2x^2+x+2=0

I'm having difficulty with this question, but I've settled on C for now. Am I correct?

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  1. (x + 1 - 4i)(x + 1 + 4i)

    x^2 + x + 4ix + x + 1 + 4i - 4ix - 4i - (4i)^2

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  2. βˆ’16i^2+x^2+2x+1

    But that's not one of my possible answers?

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  3. i = √-1 ... i^2 = -1

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  4. it’s c :)

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  5. B-6-2
    A7-
    B1 3/2
    D
    By=
    C7.5
    A 1
    D

    C

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  6. x's answers to the quiz are correct

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