SOLUTION: two numbers their sum is 43 and their product is 405 . what are the difference of this two numbers ?

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Question 435201: two numbers their sum is 43 and their product is 405 . what are the difference of this two numbers ?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x(43-x) = 405

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 : .

Discriminant d=229 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 29.0663729752108, 13.9336270247892. Here's your graph:
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