Question

Two numbers have a product of −24 and a difference of 11. What are the two numbers?

Answer 1

-8 and 3, or -3 and 8

Explanation:

xy = -24

x - y = 11

x = y + 11

y(y + 11) = -24

y^2 + 11x + 24 = 0

(y + 8)(y + 3) = 0

y = -8 or y = -3

x = 3 or x = 8

the numbers are -8 and 3, or -3 and 8