Question

Solve your equation and enter your answers below as a list of numbers, separated with a comma where necessary.

Answer 1

Solution

Given

$\begin{gathered} (x+7)^2=16 \\ \\ \text{ Taking the square root of both sides} \\ \Rightarrow(x+7)=\pm\sqrt{16} \\ \\ \Rightarrow(x+7)=\pm4 \\ \\ \Rightarrow x=-7\pm4 \\ \\ \Rightarrow x=-7-4,-7+4 \\ \\ \Rightarrow x=-11,-3 \end{gathered}$

Answer(s): -11, -3