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.”(1 point)
Responses

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

{−9}
left brace negative 9 right brace

There are no real solutions.
There are no real solutions.

{9}

Answer 1

To solve the equation \(x^2 = 81\) by inspection, we can take the square root of both sides. The square root of 81 is 9, so we have:

\[
x = 9 \quad \text{or} \quad x = -9
\]

Therefore, the complete solution set is:

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

So the correct response is:

\{−9, 9\}