-15+-8=-23
-15*-8=120
The two numbers you are looking for are 8 and 15. When you multiply them, 8 × 15 equals 120, and when you add them, 8 + 15 equals 23. However, there's an error in the conditions provided since no two numbers can multiply to 120 and add to 43.
154
83
143
-337
-397
There aren't any whole numbers that satisfy these conditions. The only numbers that multiply to 23 are 23 and 1.
73
23
37
There are no two real numbers that do, but two complex numbers do: (3.5 + i 3.5 √23) and (3.5 - i 3.5 √23) If you want them to add to 7 and multiply to -294, then the two real numbers -14 and 21 work. Or if you want them to add to -7 and multiply to -294, then the two real numbers 14 and -21 work. To add to -7 and multiply to 294, the following two complex numbers work: (-3.5 + i 3.5 √23) and (-3.5 - i 3.5 √23)
16