The equation is
.
Compare the equation with
.
a = 1, b = 3 and c =
.
a) Now we can find discriminant value
\
(Substitute a = 1, b = 3 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 1, and b with 3)


The solutions are
.
The discriminant value is 21 and the equation have two irrational roots.
\The solutions are
.