The equation is
.
(Original equation)
The standard form equation is
.
Compare the above two equations
and
.
Solve the equation.
\
(Formula for quadratic equation)
(Substitute
and
)
(Multiply)
(Evaluate powers:
)
(Add:
)
(Substitute :
)
or
(Write as two equation)
or
(Subtract)
or
(Simplify)
Therefore, the solutions are
and
.
Check the solution for
- values by the graphing method.
Consider the related function
.
Graph:
\Graph the function
. \ \

Observe the graph:
\The curve touches the
-axis at
and
.
Therefore, the solutions are
and
.
The solutions are
and
.