Answer:.
x = (-4, 3).
Step-by-step 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).
For this case we have the following equation:
[tex]x ^ 2 + 5x-8 = 4x + 4[/tex]
Simplifying we have:
[tex]x ^ 2 + 5x-4x-8-4 = 0\\x ^ 2 + x-12 = 0[/tex]
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
[tex]4 * -3 = -12\\4-3 = 1[/tex]
So, we have:
[tex](x + 4) (x-3) = 0[/tex]
Thus, we have the following roots:
[tex]x_ {1} = - 4\\x_ {2} = 3[/tex]
Answer:
[tex]x_ {1} = - 4\\x_ {2} = 3[/tex]
