The equation is .
The standard form of quadratic equation in - variables is
,where
.
Rewrite the equation in standard form.
\ (Original equation)
(Subtract
from each side)
(Apply additive inverse property :
)
(Simplify)
Graph the related function .
Observe the graph,
\The -intercepts of the graph appear to be at
and
.
Therefore,the solutions are and
.
Check:
\Case(i):
(Original equation)
(Substitute
in the original equation)
(Simplify)
(Multiply)
(Simplify)
(Solution checks)
Case(ii):
(Original equation)
(Substitute
in the original equation)
(Simplify)
(Multiply)
(Simplify)
(Solution checks)
The solutions are and
.