The equation is .
(Rewrite
)
(Apply quotient power property:
)
Apply defference of squares formula: .
Apply zero product property: If then
.
First term is .
Apply addition property of equality: If a = b then a + c = b + c.
\ (Add
to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Check:
\To check the first solution substitute in
.
(Apply quotient power property:
)
(Evaluate powers:
)
(Apply additive inverse property:
)
Then the first solution is "true".
Second term is .
Apply subtraction property of equality: If a = b then a c = b
c.
(Subtract
from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Check:
\To check the first solution substitute in
.
(Apply quotient power property:
)
(Evaluate powers:
)
(Apply additive inverse property:
)
Then the first solution is "true".
The solution are and
.