1 answer
(click or scroll down)
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**.