What adds to get - 30 and multiplies to get 72

X + y = - 30

xy = 62

x + y = - 30

- x - x

y = - x - 30

xy = 62

x (-x - 30) = 62

x (-x) - x (30) = 62

-x² - 30x = 62

- 62 - 62

-x² - 30x - 62 = 0

-1 (x²) - 1 (30x) - 1 (62) = 0

-1 (x² + 30x + 62) = 0

-1 - 1

x² + 30x + 62 = 0

x = - (30) ± √ ((30) ² - 4 (1) (62))

2 (1)

x = - 30 ± √ (900 - 248)

2

x = - 30 ± √ (652)

2

x = - 30 ± 2√ (163)

2

x = - 15 ± √ (163)

x = - 15 ± 12.76

x = - 15 + 12.76 or x = - 15 - 12.76

x = - 2.24 or x = - 27.76

x + y = - 30 or x + y = - 30

-2.24 + y = - 30 or - 27.76 + y = - 30

+ 2.24 + 2.24 + 27.76 + 27.76

y = - 27.76 or y = - 2.24

(x, y) = (-2.24, - 27.76) or (x, y) = (-27.76, - 2.24)

The two numbers that add up to - 30 and multiply to 72 are - 2.24 and - 27.76.