To solve the equation \( x^2 - 36 = 0 \) by factoring using the difference of squares pattern, we can rewrite it as:
\[ x^2 - 6^2 = 0 \]
This is a difference of squares, which can be factored as:
\[ (x - 6)(x + 6) = 0 \]
Setting each factor equal to zero gives us:
- \( x - 6 = 0 \) → \( x = 6 \)
- \( x + 6 = 0 \) → \( x = -6 \)
Thus, the solutions to the equation are \( x = 6 \) and \( x = -6 \).
The correct answer is:
A. x = 6, x = -6