Answer:
B) x = 21, solution is not extraneous
Step-by-step explanation:
√(x - 5) + 7 = 11
(√(x - 5) + 7) - 7 = 11 - 7
√(x - 5) = 4
(√(x - 5))² = (4)²
x - 5 = 16
(x - 5) + 5 = 16 + 5
x = 21
The solution is not extraneous. An extraneous solution is a solution that is not included in the domain. For this equation the domain would be [-5, ∞). The solution found is included in the domain
