Question

What are the roots of the equation? ​

Answer 1

Answer:

-8 and -3

Step-by-step explanation:

$x^{2} +24=-11x$

Add 11x to both sides;

$x^{2} +11x+24=0\\\\(x+3)(x+8)=0$

x + 3 = 0

Subtract 3 from both sides;

x = -3

x + 8 = 0

Subtract 8 from both sides;

x = -8

Answer 2

Answer:

Option B ( -8 and -3 )

Step-by-step explanation:

Rewrite the equation as follows:

$x^2+11x+24=0$

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,