Trey, Amelia, and Cho are discussing the solution set to the equation x2+9=45 . Trey says the solution is {6} . Amelia says the solution is {−6,6} . Cho says the solution is {−6} . Which person has found the correct solution set? (1 point) Responses Amelia Amelia Trey Trey None of them are correct. None of them are correct. Cho

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To solve the equation \( x^2 + 9 = 45 \), we start by isolating \( x^2 \):

\[
x^2 + 9 = 45
\]

Subtracting 9 from both sides:

\[
x^2 = 45 - 9
\]
\[
x^2 = 36
\]

Next, we take the square root of both sides to find \( x \):

\[
x = \pm \sqrt{36}
\]
\[
x = \pm 6
\]

This gives us the solutions \( x = 6 \) and \( x = -6 \). Thus, the solution set is:

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

Amelia is correct in stating that the solution set is \(\{-6, 6\}\). Therefore, the answer is:

**Amelia**.