To solve the equation \( x^2 - 9 = 0 \), you can follow these steps:

1. **Add 9 to both sides** of the equation to isolate the \( x^2 \) term:
   \[
   x^2 = 9
   \]

2. **Take the square root of both sides** to solve for \( x \):
   \[
   x = \pm \sqrt{9}
   \]

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

So, the solutions are \( x = 3 \) and \( x = -3 \).

Would you like more details or have any other questions?

Here are 8 related questions to expand on this topic:

1. How do you solve the quadratic equation \( x^2 - 16 = 0 \)?
2. What are the solutions to the equation \( x^2 + 4x - 5 = 0 \)?
3. How do you factor the expression \( x^2 - 9 \)?
4. Can you explain the difference between solving \( x^2 - 9 = 0 \) by factoring and by using the quadratic formula?
5. What are the steps to complete the square for \( x^2 - 9 = 0 \)?
6. How would the solution change if the equation was \( x^2 - 9 = 5 \)?
7. What are the solutions to the equation \( (x - 3)(x + 3) = 0 \)?
8. How do you solve the equation \( 2x^2 - 18 = 0 \)?

**Tip:** Remember, whenever you solve a quadratic equation by taking the square root, always consider both the positive and negative roots!

Learn how to solve the quadratic equation x^2 - 9 = 0 with a detailed step-by-step solution. Understand the quadratic equation formula and the application of square roots. Suitable for students in Grades 7-9.

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