Integers whose product is -54 and sum are -39?

Answer 1

-15

Answer 2

call the numbers x and y

xy=-54
x+y=-39

y=-54/x

-54/x+x=-39
x2+39x-54 =0
IF there were an integer solution, the polynomial would be factorable, it is not so there is no integer solution.

Also, look at the integer factor pairs of -54

-54=-1x2x33
no way to get -39