https://file.aiquickdraw.com/mathbot/file/1727366399301ne8punn1.jpg

The equation in the image is:

\[
x^2 = 24
\]

To solve for \(x\), follow these steps:

1. Take the square root of both sides of the equation:

\[
x = \pm \sqrt{24}
\]

2. Simplify the square root of 24. Since 24 can be factored as \(4 \times 6\), we get:

\[
x = \pm \sqrt{4 \times 6} = \pm 2\sqrt{6}
\]

Thus, the solution is:

\[
x = \pm 2\sqrt{6}
\]

Would you like more details or have any questions? 

Here are 5 related questions for practice:

1. What are the decimal approximations for \(x = \pm 2\sqrt{6}\)?
2. How would the solution change if the equation were \(x^2 = 36\)?
3. What would happen if you solved \(x^3 = 24\) instead?
4. How would you approach solving \(x^2 - 24 = 0\)?
5. Can you solve \(x^2 = -24\) in real numbers?

**Tip:** When solving square root equations, always remember both the positive and negative roots.

Learn how to solve the quadratic equation x^2 = 24 using square roots. This solution demonstrates the process of taking square roots and simplifying radical expressions. Appropriate for students in Grades 8-10.

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