a*b=-10
a+b=-56, or a=-b-56
Substitute for a in the first equation with the second equation:
(-b-56)*b=-10
-b2-56b+10=0
b2+56b-10=0
Solve for b (quadratic equation):
b = (56 +- (562 + 40).5)/2 = .178, 56.178
Now solve for a=-b-56
(a,b) = (-56.178,.178),(-112.178,56.178)
The second (a,b) pair doesn't work when substituted into a*b=-10, so the only answer is (a,b) = (-56.178,.178).
728
-10 and -4
-27
14
120
96
107
686
-16
110
6*1
24 and 5