Solve for x. x2 - 2x - 24 = 0 A. - 4, - 6 B. - 4, 6 C. 2, - 6 D. 4, 6 Reset Next

Answer: the answer is B

Step-by-step explanation: - 4 & 6 are both zeros of the function.

B. - 4, 6

Step-by-step 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