Hi,



A = Lw =(w+50)w =  300ft^2

         w^2 + 50x - 300 = 0

       


 
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=3700 is greater than zero. That means that there are two solutions: .

  

    

    

    

    Quadratic expression  can be factored:

  

  Again, the answer is: 5.4138126514911, -55.4138126514911.
Here's your graph:



 

        

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