Use inspection to solve the equation x2=81

Question

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 9 right brace

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

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

{−9,9}

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 the numbers that, when squared, equal 81.

The square root of 81 is 9, but since squaring can give us two results (positive and negative), we also consider -9.

Thus, the complete solution set is:

{−9, 9}

So the correct response is:

{−9, 9}