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)

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

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