Question

Use inspection to solve the equation x^2 = 81, then select the complete solution set below if there are no real solutions, select “there are no real solutions”
A.{-9,9}
B. There are no real solutions
C. {-9}
D. {9}

Answer 1

To solve the equation \( x^2 = 81 \) using inspection, we can take the square root of both sides.

The solutions to this equation are:

\[
x = \sqrt{81} = 9
\]
and
\[
x = -\sqrt{81} = -9
\]

Thus, the complete solution set is:

\[
\{-9, 9\}
\]

The correct option is:

A. \{-9, 9\}