To solve the equation \( x^2 + 9 = 45 \), we first need to isolate \( x^2 \).
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Subtract 9 from both sides: \[ x^2 = 45 - 9 \] \[ x^2 = 36 \]
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Next, take the square root of both sides: \[ x = \pm 6 \]
This means that the solutions are \( x = 6 \) and \( x = -6 \).
Now, let's evaluate the claims:
- Trey says the solution is {6}. (Incorrect, as it misses -6.)
- Amelia says the solution is {−6, 6}. (Correct, includes both solutions.)
- Cho says the solution is {−6}. (Incorrect, as it misses 6.)
Thus, the person who has found the correct solution set is:
Amelia.