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To solve the equation \( x^2 = 121 \) and find the root(s):

1. Start with the given equation:
   \[
   x^2 = 121
   \]

2. To isolate \( x \), take the square root of both sides. Remember, taking the square root yields both positive and negative roots:
   \[
   x = \pm \sqrt{121}
   \]

3. Calculate the square root of 121:
   \[
   x = \pm 11
   \]

Thus, the solutions are \( x = 11 \) and \( x = -11 \).

The correct answer is **D. \( x = \pm 11 \)**.

Would you like more details or have any questions?

Here are five related questions to deepen understanding:
1. What would be the roots if the equation were \( x^2 = 144 \)?
2. How would the answer change if the equation were \( x^2 = -121 \)?
3. Why do we consider both positive and negative roots when taking square roots?
4. Can you solve for \( x \) in the equation \( x^2 = 64 \)?
5. What is the significance of taking the absolute value of a square root in some cases?

**Tip:** Remember, when solving \( x^2 = a \) (where \( a \) is positive), the solution will always be \( x = \pm \sqrt{a} \).

Find the root(s) of the equation x^2 = 121.

Learn how to solve the equation x^2 = 121 by applying the square root property to find both positive and negative roots. Suitable for students in Grades 7-9, this problem covers key algebraic concepts and demonstrates the use of square roots in solving quadratic equations.

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