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)

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. Now, to find \( x \), we take the square root of both sides: \[ x = \pm \sqrt{36} \] \[ x = \pm 6 \]

Thus, the solution set is {−6, 6}.

Amelia is the one who has found the correct solution set.