Question

trey, amelia, and cho are discussing the solution set to the equation $x^2 + 9 = 45$. 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) none of them are correct. cho trey amelia

Explanation:

Step1: Solve the equation \(x^2 + 9 = 45\)

Subtract 9 from both sides: \(x^2 = 45 - 9 = 36\)

Step2: Find the square roots of 36

The square roots of 36 are \(x = \sqrt{36} = 6\) and \(x = -\sqrt{36} = -6\), so the solution set is \(\{-6, 6\}\), which matches Amelia's answer.

Answer:

Amelia