The equation is .

Compare the equation with .

a = 0.4, b = 1 and c = .

a) Now we can find discriminant value

     (Substitute a = 0.4, b = 1 and c = )

Product of two same sings is positive.

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

c) Apply quadratic formula:

    (Replace , a with 0.4, and b with 1)

The solutions are .

The discriminant value is 1.48 and the equation have two irrational roots.

The solutions are .