The equation is .

Compare the equation with .

a = 1, b = and c = 5.

a) Now we can find discriminant value

     (Substitute a = 1, b = and c = 5)

b) The discriminant is positive, so the equation have two rational roots.

c) Apply quadratic formula:

        (Replace , a with 1, and b with )

Product of two same sings is positive.

         ()

The solutions are .

The discriminant value is and the equation have two complex roots.

The solutions are .