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The image you've uploaded shows a mathematical question about solving the equation \( x^2 = 49 \).

This is a quadratic equation, and to solve it, we need to find the values of \( x \) that satisfy the equation.

### Solution:

We start with the equation:

\[
x^2 = 49
\]

1. To solve for \( x \), we take the square root of both sides:

\[
x = \pm \sqrt{49}
\]

2. Since the square root of 49 is 7, we get:

\[
x = \pm 7
\]

Thus, the solutions are:

\[
x = 7 \quad \text{or} \quad x = -7
\]

If you have any specific questions about this problem, feel free to ask!

### Follow-up Questions:
1. What is the method for solving more complex quadratic equations?
2. How do you check if a solution to a quadratic equation is correct?
3. Can there be cases where a quadratic equation has no real solutions?
4. How does the discriminant help in solving quadratic equations?
5. What is the geometric interpretation of quadratic equations?

### Tip: 
Always check for both the positive and negative roots when solving quadratic equations involving squares!

Learn how to solve the quadratic equation x^2 = 49 using the square root method. This detailed explanation covers key algebraic concepts and provides the step-by-step solution. Suitable for students in Grades 7-9.

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