Question

Solve(x+4)^2 – 2 =7-

Answer 1

The solution to the given equation is

x = -1 OR -7

Step-by-step explanation:

Given the equation:

`(x+4)^2-2=7`

To solve this, first of all add 2 to both sides of the equation

`\begin{gathered} (x+4)^2-2+2=7+2 \\ \\ (x+4)^2=9 \end{gathered}`

Next, take square roots of both sides

`\begin{gathered} \sqrt[]{(x+4)^2}=\pm\sqrt[]{9} \\ \\ x+4=\pm3 \end{gathered}`

Subtract 4 from both sides

`\begin{gathered} x+4-4=-4\pm3 \\ x=-4+3=-1 \\ OR \\ x=-4-3=-7 \end{gathered}`