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ceate a quadratic equation with the given solutions 8i and -9i

  • algebra - ,

    not possible!

    For any quadratic, complex roots always come in pairs of conjugates, i.e., if one root is 8i, then there has to be a root of -8i
    so your quadratic would need 4 roots.
    Quadratics have at most 2 roots.

    So, a bogus question

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