Let the numbers be x and y, then
x + y = 60 (which yields y = 60 - x)
xy = 1600 (replace y with 60 - x)
x(60 - x) = 1600
60x - x2 = 1600 (multiply by -1 to both sides)
x2 - 60x = -1600 (add 302 to both sides to complete the square)
x2 - 60x + 302 = -1600 + 900
(x - 30)2 = -700 (take the square root of both sides)
x - 30 = ± √-700 (add 30 to both sides and write -700 = (100)(7)(-1))
x = 30 ± (√100)(√7)(√-1)
x = 30 ± (10√7)i
So,
x = 30 + (10√7)i or x = 30 - (10√7)i
thus,
y = 60 - [30 + (10√7)i] or y = 60 - [30 - (10√7)i ]
y = 30 - (10√7)i or y = 30 + (10√7)i
Therefore,
[30 + (10√7)i] + [30 - (10√7)i] = 60
[30 + (10√7)i] [30 - (10√7)i] = 1600
Check:
They are 40 and 40
The two numbers are -2 and -15
The two numbers are... -36 and -36
none
199
They are 40 and 40
1660
1680
-1540
1660
To solve this problem, we are looking for two numbers that multiply to 150 and add to -19. Let’s break it down: Product of the two numbers: The two numbers should multiply to give 150. Sum of the two numbers: The same two numbers should add up to -19.
The two numbers that multiply to get 35 and add to 2 are 7 and -5. When you multiply them (7 * -5), you get -35, and when you add them (7 + -5), you get 2. Thus, the numbers are 7 and -5.
The two numbers that multiply to -30 and add up to 13 are 15 and -2. When you multiply 15 and -2, you get -30, and when you add them together, you get 13.
There are no two real numbers that do, but the complex numbers (2 + i) and (2 - i) will.If you want two numbers that multiply to negative 5 and add to positive 4 then: -1 and 5If you want two numbers that multiply to negative 5 and add to negative 4 then: 1 and -5
The two numbers that add to give you 25 and multiply to give you 26 are 24 and 1. When you add 24 and 1, you get 25, and when you multiply them, you get 26.
The two numbers that multiply to -72 and add to -29 are approximately 3.57 and -32.57.
The two numbers you are looking for are -15 and 4. When you multiply -15 and 4, you get -60, and when you add them together, you get -13.