To solve the equation \( X^2 - 529 = 0 \), follow these steps:

1. **Add 529 to both sides**:
   \[
   X^2 = 529
   \]

2. **Take the square root of both sides**:
   \[
   X = \pm \sqrt{529}
   \]

3. **Calculate the square root**:
   \[
   X = \pm 23
   \]

So, the solutions are:
\[
X = 23 \quad \text{or} \quad X = -23
\]

Would you like a detailed explanation of any step, or do you have any questions?

Here are some related questions to consider:

1. How do you solve quadratic equations using the quadratic formula?
2. What are the properties of square roots when dealing with negative numbers?
3. How do you factorize quadratic equations?
4. How can you check if a solution to a quadratic equation is correct?
5. What are the real-life applications of quadratic equations?

**Tip:** Always remember to consider both the positive and negative roots when solving \( X^2 = a \).

Learn how to solve the quadratic equation X^2 - 529 = 0 with a detailed step-by-step solution. This problem covers key algebraic concepts, including the quadratic equation formula and square root properties. Suitable for students in Grades 7-9.

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