Answer:
B. -4, 6
Explanation:
Given the quadratic equation;
x^2 - 2x - 24 = 0
we can determine the solution by first factoring the expression on the left hand side. We determine two numbers whose product is -24 and sum -2. By trial and error the two numbers are found to be;
-6 and 4
We replace the middle term, -2x, with these two values;
x^2 + 4x -6x -24 = 0
x(x+4) -6(x+4) = 0
(x-6)(x+4) = 0
x-6 = 0 or
x + 4 = 0
x = 6 or x = -4