what two numbers when multiplied = -24 but when added = 8

Answer 1

xy=-24, x=-24/y

x+y = 8

-24/y + y = 8

-24 + y^2 = 8y

y^2 - 8y - 24 = 0

y^2 -8y + 16 = 24+16 = 40

(y-4)^2 = 40

y-4 = + or - sqr40 = + or -2sqr10

y= 4+ or - 2sqr10 =4+ or- 6.32 = about 10.32 or -2.32

y = 8/2 + or - (1/2)sqr(64+96) = about 10.32 or -2.32

x = -2.32 or 10.32

-2.32 times 10.32 = -23.94

10.32 + (-2.32) = 8

the two numbers are slightly more than 10.32 and -2.32