The polynomial is
.
Find the factors.
\
(Original equation)
(Subtract
from each side)
(Apply additive inverse property:
)
(Subtraction:
)
(Write in form
)
(Factor the difference of the squares:
)
or
(Apply zero productive property)
Solutions are
and
.
Check solution for
-values.
Case (i):
\
(Original equation)
(Substitute
)
(Evaluate powers:
)
(Add:
)
Case (ii):
\
(Original equation)
(Substitute
)
(Evaluate powers:
)
(Add:
)
Solutions are
and
.