Let's solve the equation \(x^2 + 9 = 45\).
First, we can isolate \(x^2\):
\[ x^2 + 9 = 45 \] \[ x^2 = 45 - 9 \] \[ x^2 = 36 \]
Next, we find the values of \(x\) by taking the square root of both sides:
\[ x = \pm \sqrt{36} \] \[ x = \pm 6 \]
This means the solutions are \(x = 6\) and \(x = -6\).
Now, let's evaluate each person's claim:
- Trey says the solution is < 6: This is incorrect, as the solutions are \(6\) and \(-6\), not all values less than \(6\).
- Amelia says the solution is {-6, 6}: This is correct as it accurately lists the solutions.
- Cho says the solution is 1-6: This is incorrect and doesn't represent the correct solutions.
Thus, the person who has found the correct solution set is Amelia.