They are: -1 and 8
The two numbers that multiply to get 35 and add to 2 are 7 and -5. When you multiply them (7 * -5), you get -35, and when you add them (7 + -5), you get 2. Thus, the numbers are 7 and -5.
The two numbers that add up to -5 and multiply to -14 are -7 and 2. When you add them together, -7 + 2 equals -5, and when you multiply them, -7 * 2 equals -14.
-19
The pattern is multiply by -1, add 5, repeat. The next three numbers are: -7, -2, 2
-7 and 5
-7 and +1
-19
The pattern is multiply by -1, add 5, repeat. The next three numbers are: -7, -2, 2
-7 and 5
9 and -2
325
The two numbers that multiply to -140 and add up to -8 are 7 and -20. When you multiply them, 7 × -20 equals -140, and when you add them, 7 + (-20) equals -8.
If you've written that correctly, there aren't two whole numbers that satisfy those conditions. -7 and 14 multiply to -98 but add up to 7.
There are no two real numbers that will work, but two complex numbers will: (7/2 + (i√1031)/2) and (7/2 - (i√1031)/2).
-37
5 and 12
-11