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