The equation is .
(Original equation)
(Rewrite the equation)
The standard form equation is .
Compare the above two equations and
.
Solve the equation.
\ (Formula for quadratic equation)
(Substitute
and
)
(Multiply)
(Evaluate powers:
)
(Subtract:
)
(Substitute :
)
or
(Write as two equation)
or
(Simplify)
Therefore, the solutions are and
.
Check solution for -values.
Case (i):
\ (Original equation)
(Substitute
)
Differnce of the squares:.
(Distributive property:
)
(Simplify)
(Substitute:
)
Case (ii):
\ (Original equation)
(Substitute
)
Sum of the squares: .
(Distributive property:
)
(Simplify)
(Substitute:
)
The solutions are and
.