To solve the equation \( j^2 - 36 = 0 \), we can start by adding 36 to both sides:
\[ j^2 = 36 \]
Next, we take the square root of both sides. Remember that taking the square root can produce both a positive and negative solution:
\[ j = \pm \sqrt{36} \]
Now, since \(\sqrt{36} = 6\), we have:
\[ j = 6 \quad \text{or} \quad j = -6 \]
So the two solutions are:
\[ j = 6 \quad \text{or} \quad j = -6 \]