+128407 xy = 30
x + y = -13 ⇒ y = -13 - x sub this into the first equation
x ( -13 - x) = 30 simplify
-13x -x^2 = 30 rearrange as
x^2 + 13x + 30 = 0 factor as
(x + 3) ( x + 10 ) = 0
Set each factor to 0 and solve for x and we get that x = -3 or x = -10
We only need to consider either one of these
And when x = -3 then
y = -13 - (-3) = -10
So....the two integers are
-3 and -10
