Question

solve each of the following equations
a. (x^2 - 36 = 0)

Explanation:

Step1: Move -36 to the other side

We start with the equation \(x^{2}-36 = 0\). To isolate \(x^{2}\), we add 36 to both sides of the equation. So we get \(x^{2}=36\).

Step2: Take the square root of both sides

Taking the square root of both sides of the equation \(x^{2}=36\), we know that if \(x^{2}=a\) (where \(a\geq0\)), then \(x = \pm\sqrt{a}\). Here, \(a = 36\), so \(x=\pm\sqrt{36}\). Since \(\sqrt{36}=6\), we have \(x = \pm6\).

Answer:

\(x = 6\) or \(x=- 6\)