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

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

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

{−9}
left brace negative 9 right brace

{9}

Answer 1

To solve the equation \( x^2 = 81 \) using inspection, we can find the numbers that, when squared, equal 81.

The possible solutions are:
- \( x = 9 \) because \( 9^2 = 81 \)
- \( x = -9 \) because \( (-9)^2 = 81 \)

Thus, the complete solution set is \(\{ -9, 9 \}\).

The correct response is:
\(\{ -9, 9 \}\) (left brace negative 9 comma 9 right brace).