Answer:
-5 and 4
Step-by-step explanation:
Use a system of equations. Let [tex]x[/tex] be the first number and [tex]y[/tex] be the second number
The first equation will be a product, [tex]xy=-20[/tex], and the second will be a sum, [tex]x+y=-1[/tex]
Solve the second equation for [tex]x[/tex], which results in [tex]x=-1-y[/tex], and substitute into the first equation.
[tex](-1-y)y=-20[/tex]
Distribute
[tex]-y-y^{2} =-20[/tex]
Set equal to zero
[tex]y^{2}+y-20=0[/tex]
Factor
[tex](y+5)(y-4)=0[/tex]
So [tex]y=-5[/tex] or [tex]y=4[/tex]
When [tex]y=-5[/tex], then [tex]x=-1-(-5)[/tex] or [tex]x=4[/tex]
When [tex]y=4[/tex], then [tex]x=-1-4[/tex] or [tex]x=-5[/tex]
