What adds ups to 5 but multiplies to give you 12

X + y = 5

xy = 12

x + y = 5

y = - x + 5

xy = 12

x (-x + 5) = 12

x (-x) + x (5) = 12

-x² + 5x = 12

- 12 - 12

-x² + 5x - 12 = 0

x² - 5x + 12 = 0

x = 5 ± √25 - 48

2

x = - 5 ± √-23

2

x = - 5 ± 4.79i

2

x = - 5 + 4.79i or x = - 5 - 4.79i

2 2

x = - 2.5 + 2.395i or x = - 2.5 - 2.395i

y = - 2.5 - 2.395i or y = - 2.5 + 2.395i

The two numbers that add up to 5 and multiply to 12 is - 2.5 ± 2.395i, which is - 2.5 + 2.395i and - 2.5 - 2.395i.