Question

what is the solution set for the equation $x^2 - 9 = 0$?
○ {3}
○ {9}
○ {-3, 3}
○ {-9, 9}

Explanation:

Step1: Solve the equation \(x^2 - 9 = 0\)

We can rewrite the equation as \(x^2 = 9\).

Step2: Find the square roots of 9

The square root of a number \(a\) is a value \(x\) such that \(x^2 = a\). For \(a = 9\), we know that \(3^2 = 9\) and \((-3)^2 = 9\) (since \((-3)\times(-3)=9\)). So the solutions for \(x\) are \(x = 3\) and \(x = -3\).

Answer:

\(\{-3, 3\}\)