Question

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}
left brace negative 9 right brace

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

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

{9}

Answers

Answered by GPT-4o mini
To solve the equation \( x^2 = 81 \) by inspection, we can determine what value(s) of \( x \) satisfy this equation.

Taking the square root of both sides, we get:

\[
x = \pm \sqrt{81}
\]

The square root of 81 is 9, so:

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

This means the complete solution set is:

\[
\{ -9, 9 \}
\]

So the correct response is:

\[
\{ -9, 9 \}
\]
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