https://file.aiquickdraw.com/mathbot/file/1726712017162gvthsx9x.jpg

The equation provided in the image is:

\[
x^2 = 121
\]

To find all solutions to this equation, we need to solve for \( x \).

1. Take the square root of both sides:
   \[
   x = \pm \sqrt{121}
   \]

2. The square root of 121 is 11:
   \[
   x = \pm 11
   \]

Thus, the solutions to the equation \( x^2 = 121 \) are:

\[
x = 11 \quad \text{or} \quad x = -11
\]

Do you have any further questions, or would you like a detailed explanation of any step?

### Related questions:
1. How do you solve a quadratic equation by factoring?
2. What are the different methods to solve quadratic equations?
3. How does the sign of a number affect its square root?
4. Why do we consider both positive and negative roots when solving \(x^2 = a\)?
5. Can all quadratic equations be solved by taking square roots?

### Tip:
When solving \( x^2 = a \), always remember to consider both the positive and negative square roots.

Which of the following represents all of the solutions to the equation x^2 = 121?

Learn how to solve the equation x^2 = 121, and find all possible solutions. This algebra problem involves solving for x by taking the square root of both sides, considering both positive and negative roots. Suitable for students in Grades 7-9.

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