The equation is .
The LCD for the term is .
Solve the equation.
\ (Original equation)
Multiply by LCD.
\
(Divide common factors)
(Multiply)
(Combine like terms)
(Subtract
from each side)
(Apply additive inverse property:
)
(Quadratic roots formula)
(Substitute
and
)
(Evaluate powers)
(Add)
(Substitute:
)
(Take out common term and simplify)
or
(Separate solutions)
or
(Simplify)
Check solution for -values.
Case (i):
\ (Original equation)
(Substitute
)
(Multiply)
(Simplify)
(LCD is
)
(Multiply)
(Add numerator)
Case (ii):
(Original equation)
Substitute .
(Multiply)
(Addition and subtraction)
(LCD is
)
(Multiply)
(Subtract numerator) \ \
Therefore the solutions are and
.
The solutions are and
.