What 2 numbers multiply to - 360 and add up to 9

xy = - 360

x + y = 9

x + y = 9

- x - x

y = - x + 9

xy = - 360

x (-x + 9) = - 360

x (-x) + x (9) = - 360

-x^2 + 9x = - 360

+ 360 + 360

-x^2 + 9x + 360 = 0

-1 (x^2) - 1 (-9x) - 1 (-360) = 0

-1 (x^2 - 9x - 360) = 0

-1 - 1

x^2 - 9x - 360 = 0

(x + 15) (x - 24) = 0

x = - 15 or x = 24

The two numbers that multipky to - 360 and 9 are - 15 and 24.