SOLUTION: The difference of two numbers is 20 and their product is -96. How do I find their numbers??

Question 279612: The difference of two numbers is 20 and their product is -96. How do I find their numbers??
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
We can set up two equations and solve it from there. We'll let x be one number and y be the other.
x-y=20
x(y)=-96
Let's put the second equation to look like this:
x=-96/y
Now we can plug this into the first to get:
-96/y-y=20 Multiply this by y to get
-96-y^2=20y Get this with everything on one side of the = sign.
0=y^2+20y+96 Factor this to get:
0=(y+8)(y+12)
y=-8
y=-12
Plugging these numbers into the equations give us:
x=12
x=8
There we go.
RJ
www.math-unlock.com
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