1.2 Homework 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 \( \{\square \). \( 50 \%, 60 \) (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) 1.2 .31 . B. There are no solutions.

To solve the equation \( x^{2} = 144 \) using the square root method, we take the square root of both sides. This gives us \( x = \pm \sqrt{144} \), which simplifies to \( x = \pm 12 \). Therefore, the solution set is \( \{ -12, 12 \} \). The solution set \( \{ -12, 12 \} \) showcases that every positive number has a corresponding negative counterpart when squared, revealing the beauty of symmetry in mathematics. It’s important to remember that squaring a number always yields a positive result or zero, which is why we need the positive and negative roots in the solution.