Question

trey, Amelia, and Cho are discussing the solution set to the equation X squared +9 equals 45

trey says the solution is six

Amelia says the solution is -6, six

Cho says the solution is -6

who is correct

Answer 1

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

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

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

So, the solutions are \( x = 6 \) and \( x = -6 \).

Now, let's analyze what each person said:

- Trey says the solution is 6. (Correct, but incomplete)
- Amelia says the solutions are -6 and 6. (Correct)
- Cho says the solution is -6. (Correct, but incomplete)

So, Amelia has the most complete answer by correctly identifying both solutions, while Trey and Cho are partially correct.