Trey, Amelia, and Cho are discussing the solution set to the equation x^2+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

None of them are correct.
None of them are correct.

Trey
Trey

Cho
Cho

Amelia

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
19 days ago

To solve the equation \(x^2 + 9 = 45\), we first isolate \(x^2\):

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

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

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

The solution set is \(\{-6, 6\}\).

So, the correct person who found the solution set is **Amelia**.