two negative integers have a sum of -12 and a product of 32. what are the integers?

Answer 1

x+y = -12

y=-12-x

xy =32

x(-12-x) = 32

-x^2 -12x -32 =0

x^2 +12x +32 =0

(x+8)(x+4) =0

x =-4, -8

y=-8, -4

the two negative numbers are -4 and -8

they sum to -12. their product = 32