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

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

Cho
Cho

Amelia
Amelia

Trey

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

To solve the equation \( x^2 + 9 = 45 \):

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

2. Take the square root of both sides, noting that this includes both the positive and negative roots:
\[
x = 6 \quad \text{or} \quad x = -6
\]

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

Amelia is correct.