√(x+2) +4=x
√(x+2) = 4-x
square both sides :
x+2 = 16-8x+x^2
0 = 16-8x+x^2 - x -2
x^2 - 9x +14 = 0
(x-2)(x-7) = 0
for zeros, x=2 or x=7
but we have to recheck again to original equation :
√(x+2) +4=x
for x=2,
√(2+2) +4=2
6 = 2 (incorrect)
for x=7,
√(7+2) +4=7
7 = 7 (correct answer)