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.