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Steve
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MaxineWell, 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.
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
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What two numbers add together to give -14 and multiply to give -120?
-134
What two numbers multiply together to give 80 and add together to give 21?
101
What two numbers multiply together to give you 120 then add or subtract to give you 34?
154
How do you find the product of two numbers do you add them together or multiply?
Product = multiply.
What two numbers will multiply to get -54 and add together to get 3?
The numbers are: 9 and -6
