Equations of the Second Degree
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.
If we set then
the last equation becomes:
Now we have the following possibilities:
If we consider the equation in the set of complex numbers C we have:
If D>0 then (1).
That means that the equation has two different
If D=0 then (1).
In this instance we say that the equations has
one double root.
If D<0 then (1) has
no solutions in R, that is the equation has no real roots.
the equation has two solutions that are complex numbers.