SOLUTION: what two numbers multiplied together equal 42,000 and add to be 20

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Question 440430: what two numbers multiplied together equal 42,000 and add to be 20
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x*(20 - x) = 42000
x%5E2+-+20x+%2B+42000+=+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-20x%2B42000+=+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=%28-20%29%5E2-4%2A1%2A42000=-167600.

The discriminant -167600 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 -167600 is + or - sqrt%28+167600%29+=+409.389789809174.

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-20%2Ax%2B42000+%29

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