Answer: 8 and -9
Step-by-step explanation: Let x be the first number we are looking for and y the second number.
We know that x*y=-72
Also we know that x+y=-1 from this x=-1-y
Subtitue x to the first equation to get:
(-1-y)*y=-72
-y^2-y=-72
0=y^2 +y -72
To solve it with factor method we use that 72=8*9 and 9-8=1
y^2+y-72= (y-8)(y+9)=0
Thus y=8 or y=-9
x=-1-y from above
Thus x=-9 or x=8
Lets check if y=8 and x=-9 than 8*-9=-72 and 8+(-9)=-1
The same is true for the above pair as it is the same solution just x and y switched.
