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 .