Trey, Amelia, and Cho are discussing the solution set to the equation x2+9=45 .

Question

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

Amelia
Amelia

Trey
Trey

None of them are correct.
None of them are correct.

Cho

Answer 1

Let's solve the equation \( x^2 + 9 = 45 \) to find the correct solution set.

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

2. Take the square root of both sides: \[ x = \pm 6 \]

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

Amelia is the one who found the correct solution set.