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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:
What else can I help you with?
What two numbers multiply to get 1600 but add up to get 80?
They are 40 and 40
What two numbers add to -17 and multiply to 30?
The two numbers are -2 and -15
What two numbers add up to -72 and multiply to 1296?
The two numbers are... -36 and -36
What two numbers add to get 5 and multiply to get 84?
none
What two numbers add to get 19 and multiply to get 180?
199
What two numbers multiply to get 1600 but add up to get 80?
They are 40 and 40
What two numbers multiply to negative 1600 and add to 60?
1660
What two numbers multiply to 1600 and add to 80?
1680
What two numbers can you multiply to get -1600 but add to get 60?
-1540
What two number multiply to 1600 and add to 60?
1660
What numbers multiply into 150 and add to -19?
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.
What two numbers multiply to get 35 and add to 2?
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.
What two numbers multiply into -30 and add up to 13?
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.
What two numbers will multiply to 5 and add to 4?
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
What two numbers add to give you 25 and multiply to give you 26?
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.
What two numbers do you multiply to get -60 and add to get -13?
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.
What 2 numbers multiply to -72 but add to -29?
The two numbers that multiply to -72 and add to -29 are approximately 3.57 and -32.57.
