What two numbers multiply to get -12 and add to get -11?

Answer 1

-23

Answer 2

xy = -12

x+y = -11, or y = -11-x

substitute for y in the 1st equation with the 2nd:

x(-11-x) = -12

-11x - x2 = -12

x2 + 11x -12 = 0

Factor:

(x+12)(x-1)=0

x={-12,1}

Plug in the values for x into the original equations to determine the value of y:

y = -11 - (-12) = 1

y = -11 - 1 = -12

(x,y) = (-12,1) or (1,-12)