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Let's call the two numbers a and b. We know that ab = 280 and a + b = 27. Solving the second equation for b gives us b = 27 - a. We can then plug this equation into ab = 280 (since we know have b in terms of a). This gives us:
a(27 - a) = 280
Distribute and subtract 280 from both sides:
-a2 + 27 - 280 = 0
Use the quadratic formula to solve for a:
This step does not have any real solutions. There are no two real numbers that add to 280 and multiply to 27. You could use imaginary numbers. The quadratic formula shows that a could be about 13.5 - 9.887i. Plugging this value into one of the above equations (such as a + b = 27), and solving for b results in b equaling about 13.9 + 9.887i. (It could also come out so that a is about 13.9 + 9.887i and b is about 13.5 - 9.887i.)
So, there are no real solutions. If imaginary solutions are included, the two numbers could be about 13.5-9.887i and 13.5-9.887i.
(The exact forms are (1/2)(27 - isqr(391)) and (1/2)(27 + isqr(391)) The plus or minus in the quadratic formula takes care of what both numbers will be, so you don't have to substitute back if you find both possible values for a.)
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What two numbers add to give you 20 and multiply to give you 25?
45
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14
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-17
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-144
What two numbers add together to equal -4 and multiply together to equal 24?
20
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280
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323
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 make -280 when multiply and -33 when added?
-313
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 20 and multiply to give you 25?
45
What 2 numbers multiply to -72 but add to -29?
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What two numbers that multiply to give you 280?
14, 20 or 5, 56 or 10, 28
What two numbers can you multiply and get 216 and then add the same numbers and get 15?
i do not no
What numbers multiply to 24 and add to -10?
14
What two numbers add to -17 and multiply to 30?
The two numbers are -2 and -15
What two numbers multiply together to equal -9 and add together to equal -8?
-17
