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

Amelia
Amelia

Trey
Trey

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

Cho

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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.