Answer:
A = -10
Explanation:
x^2 + 10x + 24 = 0
To find the roots, we need to factor the equation.
What 2 numbers multiply to 24 and add to 10
6*4 = 24
6+4 = 10
(x+6) (x+4)=0
Using the zero product property
x+6 = 0 x+4 = 0
x = -6 x = -4
We want the sum when the roots are added
-6+ -4 = -10