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Chapter 5

Polynomial Equations of the Second Degree

 
 
5.1  The equation where a,b,c belong in R, and a is not equal to 0 

    We are going to solve the quadratic equation as it is called with the help of an algorithm.
We have:


If we set then the last equation becomes:
    (1)
Now we have the following possibilities:

         If we consider the equation in the set of complex numbers C we have:

        (1)
 
 
 
 .

        So the equation has two solutions that are complex numbers.