The equation is .
(Square each side and eleminate the square roots)
Apply sum of perfect square formula: .
(Evaluate power:
)
Apply subtraction property of equality: a = b then .
(Subtract
from each side)
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
Apply subtraction property of equality: a = b then .
(Subtract 8x from each side)
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
Combine like terms using distributive property: .
(Subtract:
)
Apply subtraction property of equality: a = b then .
(Subtract 14 from each side)
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Subtract:
)
Check:
\To check the solution, substitute in
.
(Evaluate power:
)
(Multiply:
)
(Add: 4 + 18 + 14 = 36 and 2 + 4 = 6)
(Evaluate square roots:
)
The solution is "True".
The value of .