0
Ah, what a lovely math puzzle! To find two numbers that multiply to -120 and add up to 7, we can think of two numbers that have a difference of 7 and a product of -120. Those numbers are 15 and -8. It's like painting a happy little equation where both numbers can come together in perfect harmony to create a beautiful solution.
To find two numbers that multiply to -120 and add up to 7, we need to first list the factors of -120. The factors of -120 are (-1, 120), (-2, 60), (-3, 40), (-4, 30), (-5, 24), (-6, 20), (-8, 15), (-10, 12). Among these pairs, the numbers that add up to 7 are -8 and 15. Therefore, the two numbers are -8 and 15.
Let the numbers be m & n
Hence
mn = -120
m +n = 7
It follows m = 7 - n
Substitute
(7 - n)n = -120
Multiply out the brackets
7n - n^2 = -120
Form a Quadratic Eq'n
n^2 - 7n - 120 = 0
Factor
(n - 15)(n + 8) = 0
Hence n = 15 & m = -8
Add your answer:
Earn +20 pts
What multiplies to 120 but adds to 34?
154
What adds up to 29 and multiplies to 120?
24 and 5
What multiplies to negative 120 and adds to 14?
The numbers are: 20 and -6
What multiplies into -720 but adds into 7?
-713
What multiplies to 18 and adds to -11?
7
What multiplies to 120 and adds up to -43?
77
What adds to 7 and multiplies to 49?
There is no answer, it is not possible
What multiplies to negative 144 and adds to 7?
151
What multiplies to 6 and adds to 7?
6 and 1
What adds up to 7 and multiplies to 6?
6*1
What multiplies to 3 and adds to 4?
7
What multiplies to get -168 and adds to get 17?
-151
