Answer :

first find the factors of -96
-96=-1 times 2 times 2 times 2 times 2 times 2 times 3
the combos are
2 times 48
3 times 32
4 times 24
6 times 16
8 times 12
no find the differences of each and find which one=4 or -4
2-48=-46 no
3-32=-29 no
4-24=-20 no
6-16=-10 no
8-12=-4 yes

so the numbers are -8 and 12 becase when added, they yeild 4 and when multiplied, they yield -96

-8 and 12