SOLUTION: what 2 numbers add up to -126 but multiply to get 9720

Question 569729: what 2 numbers add up to -126 but multiply to get 9720
Found 2 solutions by Alan3354, JBarnum:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
what 2 numbers add up to -126 but multiply to get 9720
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x + y = -126 --> y = -126 - x
x*y = 9720
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x*(-126 - x) = 9720

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -23004 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 -23004 is + or - .

The solution is , or
Here's your graph:

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No real number solution.
The complex numbers shown fit.

Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
there arent any 2 numbers that work
highest possible to add to -126
-63+-63=-126 and -63*-63=3969
they have to be both negative numbers to make the positive number.
if you know imagenary numbers theres an answer, but you didnt clarify imagenary numbers
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