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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
The two numbers that satisfy the given conditions are 4 and 1. When you add 4 and 1, you get 5. When you multiply 4 and 1, you get 4. The two numbers are 4 and 1.
-144
14
-1
20
-17
-7
-36
-56
The numbers are 3 and 4
34