Question

Use the square root property to solve the equation.(x + 4)² = -7Select one:O A. {-2-√7)O B. <-4+√7)O C. {3, 11}O D. {-4+√7)

Answer 1

Given the expression:

`(x+4)²=-7`

if we apply the square root on both sides of the equation, we get the following:

`\begin{gathered} √((x+4)²)=\pm√(-7) \\ \Rightarrow x+4=\pm√(7)i \end{gathered}`

solving for x, we get:

`\begin{gathered} x+4=\pm√(7)i \\ \Rightarrow x=-4\pm√(7)i \end{gathered}`

therefore, the solutions are -4+sqrt(7)i and -4-sqrt(7)i