To solve the equation \( x^2 - 100 = 0 \), we can follow these steps:

1. **Add 100 to both sides:**
   \[
   x^2 = 100
   \]

2. **Take the square root of both sides:**
   \[
   x = \pm \sqrt{100}
   \]
   \[
   x = \pm 10
   \]

Thus, the solutions are:
\[
x = 10 \quad \text{and} \quad x = -10
\]

If you have any questions or need further details, feel free to ask!

Here are some related questions you might consider:
1. How do you solve quadratic equations using factoring?
2. What are the properties of square roots?
3. Can you explain the quadratic formula and how it works?
4. How can we graph the equation \( y = x^2 - 100 \)?
5. What does the discriminant tell us about the roots of a quadratic equation?

**Tip:** Always check your solutions by substituting them back into the original equation!

Discover how to solve the quadratic equation x^2 - 100 = 0 with a step-by-step solution that utilizes the difference of squares theorem. This content is ideal for students in Grades 7-9 learning about algebra and quadratic equations.

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