The equation is
.
Solve the equation.
\
(Original equation)
(Rewrite the equation)
(Difference of cubes)
and
(Zero product property)
and
(Solve for
)
The equation has three roots, one real root and two imaginary roots,
and
.
Check solution for
-values.
Graph:
\Graph the equation
.
.gif\")
Observe the graph:
\The graph cross the
- axis at
.
Therefore, the value of
is
.
The equation has three roots, one real root and two imaginary roots.