Respuesta :

we are given

[tex] (x+5)^2 = 36 [/tex]

firstly , we can take sqrt both sides

we will get two equations

First equation is:

[tex] (x+5) = -6 [/tex]

we can solve for x

[tex] x = -11 [/tex]

Second equation is:

[tex] (x+5) = 6 [/tex]

we can solve for x

[tex] x = 1 [/tex]

so, we will get

[tex] x = -11 [/tex]

[tex] x = 1 [/tex]...............Answer

To find what x is equal to, we need to take the square root of both sides. But, we must note that a square root of a value is both positive and negative. Since the square root of 36 is 6, that means that our equation is:

x + 5 = ±6

That means that x + 5 = 6 or x + 5 = -6

That means that x = 1 or x = -11