Question
Bothe -6 and 6 make the equation x^2 / 2 =18 true. use set notation to express these solutions. when entering your respones, list elements in the set from least to greatest with a comma between each element in the set
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{x^2}{2} = 18 \), we can start by multiplying both sides by 2:
\[
x^2 = 36
\]
Next, we take the square root of both sides:
\[
x = \pm 6
\]
This means the solutions are \( 6 \) and \( -6 \).
To express these solutions in set notation, we write:
\[
\{-6, 6\}
\]
So, the final answer is:
\(\{-6, 6\}\)
\[
x^2 = 36
\]
Next, we take the square root of both sides:
\[
x = \pm 6
\]
This means the solutions are \( 6 \) and \( -6 \).
To express these solutions in set notation, we write:
\[
\{-6, 6\}
\]
So, the final answer is:
\(\{-6, 6\}\)