What are the roots of the equation?

Answer:
-8 and -3
Step-by-step explanation:
[tex]x^{2} +24=-11x[/tex]
Add 11x to both sides;
[tex]x^{2} +11x+24=0\\\\(x+3)(x+8)=0[/tex]
x + 3 = 0
Subtract 3 from both sides;
x = -3
x + 8 = 0
Subtract 8 from both sides;
x = -8
Answer:
Option B ( -8 and -3 )
Step-by-step explanation:
Rewrite the equation as follows:
[tex]x^2+11x+24=0[/tex]
Now we can use two methods either the quadratic formula or the factorization method.
Lets use the factorization method.
We need two number when multiplied gives us +24 and when added up give us +11 .
Now we know 12 and 2 when multiplied give us 24 but when added give us 14 so we cant use these two numbers.
But we know 8 and 3 when multiplied give us 24 and when added give us 11 so we can use them , so rewrite the equation like,