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There are no two real numbers that do, but the complex numbers (2 + i) and (2 - i) will.

If you want two numbers that multiply to negative 5 and add to positive 4 then: -1 and 5

If you want two numbers that multiply to negative 5 and add to negative 4 then: 1 and -5

-144

-1

20

-7

-36

-17

-56

34

The numbers are 3 and 4

2 and 4

49 and 4