Find the solution(s) to( x + {3})^(2) = 64Check all that apply

Question

Find the solution(s) to
`( x + {3})^(2) = 64`Check all that apply

Answer 1

Explanation

We are given the following:

`(x+3)^2=64`

We are required to determine the solution(s) to the given equation.

This is achieved thus:

`\begin{gathered} (x+3)^2=64 \\ \text{ Square root both sides} \\ √((x+3)^2)=\pm√(64) \\ x+3=\pm8 \\ x+3=8;x+3=-8 \\ x=8-3;x=-8-3 \\ x=5;x=-11 \end{gathered}`

Hence, the answers are:

`\begin{gathered} x=5 \\ x=-11 \end{gathered}`

Options A and D are correct.