To solve the equation \( x^2 = 36 \) using the square root method, follow these steps:

### Steps:

1. **Isolate the quadratic term**:  
   The equation is already in the form \( x^2 = 36 \).

2. **Take the square root of both sides**:  
   \[
   x = \pm\sqrt{36}
   \]

3. **Simplify the square root**:  
   \[
   x = \pm 6
   \]

### Solution:
The solutions to the equation \( x^2 = 36 \) are:

\[
x = 6 \quad \text{or} \quad x = -6
\]

### Would you like more details or have any questions?

### Follow-up Questions:
1. What would the solutions be for \( x^2 = 49 \)?
2. How would you solve \( x^2 = 0 \) using the square root method?
3. What if the equation was \( 2x^2 = 72 \)?
4. Can you apply the square root method to \( x^2 = -25 \)?
5. How do you determine the number of solutions when using the square root method?

### Tip:
Always remember to include both the positive and negative roots when solving equations using the square root method.

Learn how to solve the equation x^2 = 36 using the square root method with a detailed step-by-step solution. This problem covers quadratic equations, square root formulas, and fundamental theorem of algebra. Suitable for students in Grades 7-9.

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