What two numbers multiply to give 80 and add together to give -48?

Answer 1

32

Answer 2

Well, isn't that a happy little math problem! To find the two numbers, we can think about factors of 80. The numbers are -40 and -8 because when you multiply them, you get 80, and when you add them, you get -48. Just like painting a beautiful landscape, sometimes all it takes is a little patience and a gentle touch to find the right combination.

Answer 3

1) x*y=80

2) x+y=-48

rearrange the 1st equation and plug it into the second equation:

3) x+80/x=-48

multiply equation 3) by x:

4) x^2 +80 = -48x

use algebra to solve equation 4) for x:

x^2+48x+80=0

(x+24)(x+24)-24^2+80=0

(x+24)^2 -496=0

x+24 = sqrt(496)

x = sqrt(496)-24

x=-1.72894......

plug x back into equation 1):

5) -1.72894*y=80

solve equation 5) for y

y= -46.27105745.....

check the solutions for y and x:

-1.72894*-46.27105745=80

-1.72894+-46.27105745=-48