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}
{
−
9
,
9
}
left brace negative 9 comma 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 recognize that we need to find the values of \( x \) such that when squared, they equal 81.

Taking the square root of both sides, we find:

\[ x = \sqrt{81} \quad \text{or} \quad x = -\sqrt{81} \]

Calculating these values gives us:

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

Thus, the complete solution set is:

\[ { -9, 9 } \]

Therefore, the correct response is:

\({ -9, 9 }\)