Solve the following equation by the square root method. \( x^{2}=144 \) Select the correct choice below and fill in any answer boxes within your choice. A. The solution set is \( \{ \) \}. (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) B. There are no solutions.

To solve the equation \( x^{2}=144 \) using the square root method, we first take the square root of both sides. This gives us: \[ x = \pm \sqrt{144} \] Since the square root of 144 is 12, we have two solutions: \[ x = 12 \quad \text{or} \quad x = -12 \] Therefore, the solution set is \( \{ -12, 12 \} \). **The solution set is \( \{-12, 12\} \).**