The equation is .
Solve the equation.
\ (Original equation)
(Factor the perfect square trinomial)
(Square root property)
(Substitute:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
and
(Write as two equations)
and
(Simplify)
The solution set is .
Check solution for -values:
Case(i):
\ (Original equation)
(Substitute
)
(Evaluate powers:
)
(Multiply)
(Substitute:
)
Case(ii):
\ (Original equation)
(Substitute
)
(Evaluate powers:
)
(Multiply)
(Substitute:
)
The solution set is .