Question 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 Trey Trey Amelia Amelia 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
11 days ago

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

1. Subtract 9 from both sides:
\[
x^2 = 45 - 9
\]
\[
x^2 = 36
\]

2. Now, take the square root of both sides:
\[
x = \pm \sqrt{36}
\]
\[
x = \pm 6
\]

Thus, the solutions are \( -6 \) and \( 6 \).

Now, let's review what each person said:
- Trey said the solution is \{6\}, which is incorrect because it does not include \( -6 \).
- Amelia said the solution is \{-6, 6\}, which is correct.
- Cho said the solution is \{-6\}, which is incorrect because it does not include \( 6 \).

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