SOLUTION: what two numbers multiply to get 1600 but add to get 4? My problem: H2* + 4H - 1600 **superscript: exponent Thank you so much!!!

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Question 946273: what two numbers multiply to get 1600 but add to get 4?
My problem:
H2* + 4H - 1600
**superscript: exponent
Thank you so much!!!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what two numbers multiply to get 1600 but add to get 4?
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x*y = 1600
x + y = 4
-------
y = 4-x
x*(4-x) = 1600
x%5E2+-+4x+%2B+1600+=+0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-4x%2B1600+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-4%29%5E2-4%2A1%2A1600=-6384.

The discriminant -6384 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -6384 is + or - sqrt%28+6384%29+=+79.8999374217527.

The solution is , or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-4%2Ax%2B1600+%29

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No real number solutions.