Question

use inpection to solve the equation x^2 = 81, then select the complete solution see below

Answer 1

To solve the equation \( x^2 = 81 \) using inspection, we are looking for values of \( x \) that when squared equal 81.

1. Take the square root of both sides:
\[
x = \sqrt{81}
\]

2. Calculate the square root:
\[
\sqrt{81} = 9
\]
Since we are looking for all possible solutions, we also consider the negative root:
\[
x = -\sqrt{81} = -9
\]

Therefore, the complete solution to the equation \( x^2 = 81 \) is:
\[
x = 9 \quad \text{or} \quad x = -9
\]

In summary, the complete solution is:
\[
x = 9 \quad \text{and} \quad x = -9
\]