Answer:
[tex] k^{2} + 10k -2= 0[/tex] is the equation above which represents the given situation.
Step-by-step explanation:
Sum of the numbers = -10
Product of the numbers = -2
Let one of the number = k
So, the other number = (-10 - k)
Also,their product is -2.
⇒k x ( -10 -k) = -2
or, [tex]-10k - k^{2} = -2[/tex]
⇒ [tex] k^{2} + 10k -2= 0[/tex]
The equation above represents the given situation appropriately.