Question

Use inspection to solve the equation x2=81 , then select the complete solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses

{−9}
left brace negative 9 right brace

{9}
left brace 9 right brace

{−9,9}
left brace negative 9 comma 9 right brace

There are no real solutions.

Answer 1

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

The square root of 81 is 9, so:

1. \( x = 9 \)
2. \( x = -9 \) (since squaring a negative number also results in a positive)

Therefore, the complete solution set is:

\(\{-9, 9\}\)

So the correct response is:

\(\{-9, 9\}\)