Question

1. 9x² - 9 = 0

Explanation:

Step1: Isolate the \(x^2\) term

First, we start with the equation \(9x^2 - 9 = 0\). We add 9 to both sides of the equation to isolate the term with \(x^2\). So, \(9x^2=9\).

Step2: Solve for \(x^2\)

Then, we divide both sides of the equation \(9x^2 = 9\) by 9. This gives us \(x^2=\frac{9}{9}=1\).

Step3: Solve for \(x\)

To find the value of \(x\), we take the square root of both sides. Remember that when we take the square root of a number, we consider both the positive and negative roots. So, \(x = \pm\sqrt{1}=\pm1\).

Answer:

\(x = \pm1\)