Use a quadratic equation to find two real numbers that satisfy the situation. The sum of the two numbers is 12, and their product is - 28. a. 2, 14 c. 2, - 14 b. - 2, 14 d. no such numbers exist

The answer is B

Since the product is negative we exclude A because positive*positive doesn't yield negative.

B. - 2 + 14 = 12 AND - 2*12 = - 28 (Which is the correct answer)

C. - 14 + 2 = - 12 AND - 14*2 = - 28 (But it is the wrong answer because it yielded negative 12)