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There are no two negative numbers that can do that. In fact,
there are no two completely-real numbers that can do it.

The only two numbers that can get the job done are :

-2 + i 24.41311

-2 - i 24.41311

(Imaginary component is rounded.
' i ' is the square root of -1 .)

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Q: What two negative numbers have the sum of negative 4 and the product of 600?
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