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The given equation is:

\[
x^2 - 81 = 0
\]

To solve this equation, let's isolate \(x^2\):

\[
x^2 = 81
\]

Taking the square root of both sides, we get:

\[
x = \pm 9
\]

Thus, the roots of the equation are \(x = 9\) and \(x = -9\).

Therefore, the statement "One root of the equation \(x^2 - 81 = 0\) is -9" is **True**.

Would you like more details or have any questions?

Here are 5 related questions:

1. What are the steps to solve a quadratic equation using the square root method?
2. How would you solve the equation \(x^2 - 100 = 0\)?
3. What is the significance of finding roots of an equation?
4. How can you check if a value is truly a root of a given equation?
5. How do you solve equations where the variable has an exponent greater than 2?

**Tip:** Always check your solutions by substituting them back into the original equation to ensure they satisfy it.

One root of the equation x^2 - 81 = 0 is -9.

Learn how to solve the quadratic equation x^2 - 81 = 0 by applying the square root method to find the roots ±9. This tutorial covers key algebraic concepts and is suitable for students in Grades 7-9.

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