What multiplies to 14 but adds to negative 4?

Xy 14

x + y = - 4

x + y = - 4

x - x + y = - x - 4

y = - x - 4

xy = 14

x (-x - 4) = 14

x (-x) - x (4) = 14

-x² - 4x = 14

-x² - 4x - 14 = 0

-1 (x²) - 1 (4x) - 1 (14) = 0

-1 (x² + 4x + 14) = 0

-1 - 1

x² + 4x + 14 = 0

x = - (4) ± √ ((4) ² - 4 (1) (14))

2 (1)

x = - 4 ± √ (16 - 56)

2

x = - 4 ± √ (-40)

2

x = - 4 ± 2i√ (10)

2

x = - 2 ± i√ (10)

x + y = - 4

-2 ± i√ (10) + y = - 4

- (-2 ± i√ (10)) - (-2 ± i√ (10))

y = - 2 ± i√ (10)

(x, y) = (-2 ± √ (10), - 2 ± √ (10))

The two numbers that multiply to 14 and add up to - 4 are - 2 ± i√ (10).