7. solve by factoring. n² + 2n – 24 = 0 (1 point). a. –12, 2. b.–2, 12. c.–6, 4. d.–4, 6

Option (d) is correct.

The solution of given quadratic equation is 4 and -6.

Step-by-step explanation:

Given equation

We have to solve using factorization.

Consider the given quadratic equation

We can solve the quadratic equation using middle term splitting method,

Split the middle term in such a away that the product of term gives the product of coefficient of two other terms.

Thus, 2n can be written as 6n-4n,

We have

Taking n common from first two term and -4 common from last two terms, we have,

taking (n + 6) common, we have,

Using , zero product property ,

 we have,

or

On simplify, we have,

or

Thus, the solution of given quadratic equation is 4 and -6.

Option (d) is correct.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

there are no answer choices

step-by-step explanation: