What two numbers add up to 39 and multiply to - 880?

X + y = 39

xy = - 880

x + y = 39

x - x + y = - x + 39

y = - x + 39

xy = - 880

x (-x + 39) = - 880

x (-x) + x (39) = - 880

-x² + 39x = - 880

-x² + 39x + 880 = 0

-1 (x²) - 1 (-39x) - 1 (-880) = 0

-1 (x² - 39x - 880) = 0

-1 - 1

x² - 39x - 880 = 0

x² - 55x + 16x - 880 = 0

x (x) - x (55) + 16 (x) - 16 (55) = 0

x (x - 55) + 16 (x - 55) = 0

(x + 16) (x - 55) = 0

x + 16 = 0 or x - 55 = 0

- 16 - 16 + 55 + 55

x = - 16 or x = 55

x + y = 39

-16 + y = 39

+ 16 + 16

y = 55

(x, y) = (-16, 55)

or

x + y = 39

55 + y = 39

- 55 - 55

y = - 16

(x, y) = (55, - 16)

The two numbers that add up to 39 and multiply to - 880 are 55 and - 16.