Use inspection to solve the equation x^2=81

Question

, 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 9 right brace

{−9}
left brace negative 9 right brace

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

There are no real solutions.

Answer 1

To solve the equation \( x^2 = 81 \) by inspection, we can take the square root of both sides. The square roots of 81 are \( 9 \) and \( -9 \).

So the complete solution set is:

\({-9, 9}\)

Therefore, the correct response is:

{−9, 9}