The equation is .
Solve the equation.
\ (Original equation)
(Square on each side)
(Cancel square and root terms)
(Subtract
from each side)
(Apply additive inverse property:
)
(Multiply negative one each side)
(Factors of equation)
(Factors of group terms)
(Take out common terms)
and
(Separate solutions)
and
(Simplify)
Therefore, the values of are
and
.
Check for solution for -values:
Case(i):
(Original equation)
(Substitute
in the equation)
(Subtraction:
)
(Substitute:
)
Therefore the value of is
does not satisified the equation.
Case(ii):
(Original equation)
(Substitute
in the equation)
(Subtraction:
)
(Substitute:
)
Therefore, the value of is
satisified the equation.
The value of is
.