The equation is .
Solve the equation.
\ (Original equation)
(Cross product)
(Factors)
(Group of the factors)
(Take out common factor)
and
(Separate solutions)
and
(Simplify)
Check:
\Case(i):
(Original equation)
(Substitute
in the equation)
(Evaluate powers
in the equation)
(Multiply)
(Simplify)
(Subtract:
)
(Simplify)
Case(ii):
(Original equation)
(Substitute
in the equation)
(Evaluate powers
in the equation)
(Multiply)
(Simplify)
(Subtract:
)
(Simplify)
Therefore, the solutions are and
.
The solutions are and
.