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 None of them are correct. None of them are correct. Amelia Amelia Cho

Answer 1

Let's solve the equation \(x^2 + 9 = 45\).

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

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

So the solution set is \({-6, 6}\).

Therefore, Amelia is correct, and the correct response is:

Amelia