https://file.aiquickdraw.com/mathbot/file/1728161034755wvj9znon.jpg

The equation provided in the image is:

\[
x^2 = 81
\]

To solve this, we take the square root of both sides:

\[
x = \pm \sqrt{81}
\]

Since the square root of 81 is 9, we get:

\[
x = \pm 9
\]

Thus, the solutions are:

\[
x = 9, -9
\]

Would you like further details or explanations?

Here are 5 related questions to explore:
1. What are the steps for solving quadratic equations like \( x^2 = c \) in general?
2. How does the square root rule apply to negative numbers?
3. What is the significance of the \( \pm \) symbol in quadratic solutions?
4. Can a similar approach be used for higher-degree polynomials?
5. What are real-life applications of quadratic equations?

**Tip:** Always remember to consider both the positive and negative square roots when solving \( x^2 = c \).

Learn how to solve the quadratic equation x^2 = 81 with a detailed step-by-step solution. This problem covers key algebraic concepts like square roots and the ± rule. Suitable for students in Grades 7-9.

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