Question

Which of the following are solutions to the equation below? check all that apply x^2+5x-8=4x+4

Answer 1

Answer:.

x = (-4, 3).

Explanation:

x^2+5x-8=4x+4

x^2 + 5x - 4x - 8 - 4 = 0

x^2 + x- 12 = 0

(x +4)(x - 3) = 0

x = (-4, 3).

Answer 2

For this case we have the following equation:

`x ^ 2 + 5x-8 = 4x + 4`

Simplifying we have:

`x ^ 2 + 5x-4x-8-4 = 0\\x ^ 2 + x-12 = 0`

To find the solution we factor. To do this, we must find two numbers that, when multiplied, are obtained -12 and when added together, 1. These numbers are: +4 and -3

`4 * -3 = -12\\4-3 = 1`

So, we have:

`(x + 4) (x-3) = 0`

Thus, we have the following roots:

`x_ {1} = - 4\\x_ {2} = 3`

Answer:

`x_ {1} = - 4\\x_ {2} = 3`