What two numbers add up to - 19 and have a product of 70

X + y = - 19

xy = 70

x + y = - 19

x - x + y = - x - 19

y = - x - 19

xy = 70

x (-x - 19) = 70

x (-x) + x (-19) = 70

-x² - 19x = 70

-x² - 19x - 70 = 0

-1 (x²) - 1 (19x) - 1 (70) = 0

-1 (x² + 19x + 70) = 0

-1 - 1

x² + 19x + 70 = 0

x² + 14x + 5x + 70 = 0

x (x) + x (14) + 5 (x) + 5 (14) = 0

x (x + 14) + 5 (x + 14) = 0

(x + 5) (x + 14) = 0

x + 5 = 0 or x + 14 = 0

- 5 - 5 - 14 - 14

x = - 5 or x = - 14

x + y = - 19

-5 + y = - 19

+ 5 + 5

y = - 14

(x, y) = (-5, - 14)

or

x + y = - 19

-14 + y = - 19

+ 14 + 14

y = - 5

(x, y) = (-14, - 5)

The two numbers that add up to - 19 and multiply to 70 are - 14 and - 5.

-5+-14 would equal - 19 and multiply to 70