Solve the following equation by the square root method.

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.

Question

Solve the following equation by the square root method.

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.

UpStudy AI · Accepted Answer

A. The solution set is $$ \{ -12, 12 \} $$.

**Explanation:**

To solve the equation $$ x^{2} = 144 $$ using the square root method:

1. **Take the square root of both sides:**
   $$
   x = \pm \sqrt{144}
   $$

2. **Simplify the square root:**
   $$
   x = \pm 12
   $$

3. **Write the solution set:**
   $$
   \{ -12, 12 \}
   $$

So, the solutions to the equation $$ x^{2} = 144 $$ are $$ x = -12 $$ and $$ x = 12 $$.
The solution set is $$ \{ -12, 12 \} $$.

Upstudy AI Solution