Two numbers whose sum is 30 and product is 8800? How do I find that?

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  1. Two numbers whose sum is 30 and product is 8800.

    This problem cannot be solved in the real domain. It has a solution, however, in complex numbers.

    Let x and y be the numbers.
    (x+y)=30 => y=30-x
    xy=8800 => x(30-x)=8800 =>
    Solve by the quadratic formula:
    =15±5√7³ i

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