The equation is .
Add to each side.
Compare the equation with .
a = 6, b = 3 and c = 6.
a) Now we can find discriminant value
\ (Substitute a = 6, b = 3 and c = 6)
b) The discriminant is positive, so the equation have two rational roots.
\c) Apply quadratic formula:
(Replace
, a with 6, and b with 3) \ \
(
)
\ \
The solutions are .
The discriminant value is and the equation have two complex roots.
The solutions are .