To solve the equation x² - 36 = 0 by factoring using the difference of squares pattern, we first rewrite it as the difference of two perfect squares: (x + 6)(x - 6) = 0.
To set each factor equal to zero and solve for x, we have two equations:
x + 6 = 0, which gives x = -6.
x - 6 = 0, which gives x = 6.
Therefore, the correct solutions are x = -6 and x = 6.
Gabriel was asked to solve x² - 36 = 0 by factoring using the difference of squares pattern. What is/are the correct solutions?
1 answer