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To find two numbers that multiply to 10 and add up to -3, we can set up a system of equations. Let the two numbers be x and y. We have the equations xy = 10 and x + y = -3. By solving this system of equations simultaneously, we can find that the two numbers are -2 and -5. These numbers multiply to 10 (-2 * -5 = 10) and add up to -3 (-2 + (-5) = -3).

There are no two real numbers that do, but the two complex numbers:

(-3/2 + i√31/2) and (-3/2 - i√31/2) do.

Multiplying to -10 (negative ten) and summing to -3 (negative three) is solved by the real numbers -5 and 2.

Multiplying to -10 (negative ten) and summing to 3 (positive three) is solved by the real numbers 5 and -2.

Q: What multiplies to 10 and adds up to -3?

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