Answer :
Original equation, root isolated,
√5x+4 = √x+4
Plug in 1 for x
√5•(1)+4 = √(1)+4
Simplify
√9 = 5
Solution does not check
3 ≠ 5
x = 9
√5x+4 = √x+4
Plug in 1 for x
√5•(1)+4 = √(1)+4
Simplify
√9 = 5
Solution does not check
3 ≠ 5
x = 9