To solve the equation \( 2s^2 = 242 \), follow these steps:

1. Divide both sides of the equation by 2:
   \[
   s^2 = \frac{242}{2}
   \]
   \[
   s^2 = 121
   \]

2. Now, take the square root of both sides to solve for \( s \):
   \[
   s = \pm \sqrt{121}
   \]
   \[
   s = \pm 11
   \]

Thus, \( s = 11 \) or \( s = -11 \).

Would you like more details or have any other questions?

Here are 5 related questions to explore:
1. What happens if the equation was \( 2s^2 = 250 \) instead?
2. How do you solve a quadratic equation like \( s^2 + 3s - 28 = 0 \)?
3. How would the solution change if it were \( 2s^3 = 242 \)?
4. What is the method to solve equations involving fractions like \( \frac{2s^2}{5} = 242 \)?
5. What are the steps to graph the equation \( s^2 = 121 \)?

**Tip:** When solving quadratic equations, always check if factoring, completing the square, or using the quadratic formula might simplify the process.

Discover how to solve the equation 2s^2 = 242 by dividing both sides and taking square roots. This step-by-step guide covers key algebraic concepts and the Square Root Theorem, ideal for students in Grades 6-8.

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