What two numbers have a product that is twice their sum and have a difference of 2

Solution:
Let one number be x. Then the other is x + 2.
Sum of the numbers = 
Product = 
Since product is twice the sum,





Solution below:


 
Solved by pluggable solver: SOLVE quadratic equation with variable
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=20 is greater than zero. That means that there are two solutions: .
  
    
    
    
    Quadratic expression  can be factored:
  
  Again, the answer is: 3.23606797749979, -1.23606797749979.
Here's your graph:




The 2 numbers are approximately  and highlight

Hope this helps :)