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The given problem asks to solve the equation \( x^2 = 18 \) and write the solutions using the \(\pm\) notation when appropriate.

### Step-by-step solution:
1. Start with the equation:  
   \[
   x^2 = 18
   \]

2. Take the square root of both sides:  
   \[
   x = \pm \sqrt{18}
   \]

3. Simplify \(\sqrt{18}\):  
   \[
   \sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}
   \]

4. The solution is:  
   \[
   x = \pm 3\sqrt{2}
   \]

So the correct answer is \( x = \pm 3\sqrt{2} \).

None of the options exactly match this form, but the solution should be expressed with the \(\pm\) notation, so the correct interpretation would be that the solution uses \(\pm \) with \(\sqrt{18}\) simplified to \( 3\sqrt{2} \).

Would you like more details on this? 

Here are 5 related questions to deepen your understanding:
1. What is the process of simplifying square roots?
2. How do you handle square roots in quadratic equations?
3. What is the significance of the \(\pm\) symbol in solutions?
4. Can all quadratic equations be solved using square roots?
5. How do you determine if a solution has no real solutions?

**Tip:** Always check if the square root can be simplified further by factoring out perfect squares.

Solve the equation x^2 = 18, and write the solutions using ± notation when appropriate.

Learn how to solve the quadratic equation x^2 = 18 and express the solution using ± notation. This step-by-step solution simplifies the square root of 18 and is suitable for students in Grades 7-9.

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