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16 August, 13:58

What are the roots of the polynomial equation:

(x + 5) (x + 5i) (x - 5i) = 0

Enter your answers in order from least to greatest, separated by a comma.

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  1. 16 August, 14:24
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    Set each factor equal to 0 and solve for x

    x+5 = 0 leads to x = - 5

    x+5i = 0 leads to x = - 5i

    x-5i = 0 leads to x = 5i

    The three roots are: - 5, - 5i, 5i

    Side note: it is not possible to order complex numbers in the form a+bi where 'b' is nonzero. Only purely real numbers can be ordered.
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