Question

What times what equals 120 and when you add them together it's -23?

Answer 1

Set thw two integers as x and y
xy=120
and
x+y=-23

x=-23-y
(-23-y)(y)=120
-23y-y^2=120
-y^2-23y=120
-y^2-23y-120=0
Multiply quadratic by -1
y^2+23y+120=0
(y+15)(y+8)=0
y=-15, -8

Answer 2

-8+-15=-23
and
-8*-15=120
So the answer: --8 and -15