Question

Question
Both −6
and 6 make the equation x22=18
true. Use set notation to express these solutions. When entering your response, list elements in the set from least to greatest, with a comma between each element in the set.(1 point)

Answer 1

To express the solutions to the equation \( x^2 = 18 \) in set notation, we can first note the solutions you've mentioned, which are \(-6\) and \(6\). However, it seems there has been a small oversight because when solving \( x^2 = 18 \), the actual solutions should be:

\[
x = \pm \sqrt{18} = \pm 3\sqrt{2}
\]

Thus, the correct solutions to the equation \( x^2 = 18 \) are \( -3\sqrt{2} \) and \( 3\sqrt{2} \).

Now, in set notation, we want to list these solutions from least to greatest. Therefore, the solution set is:

\[
\{ -3\sqrt{2}, 3\sqrt{2} \}
\]

If you were only considering \(-6\) and \(6\), then the set notation for those numbers would be:

\[
\{ -6, 6 \}
\]

However, please ensure you're referring to the correct solutions based on the equation provided.