√(x+2)=x-4
square both sides
x+2=x^2-8x+16
x^2-8x+16-x-2=0
x^2-9x+14=0
factor
(x-7)(x-2)=0
x-7=0
x=7 (answer)
x-2=0
x=2 but 2 makes the left side equal to 2 and the right side equal to -2 so disregard the answer of 2 !!!
Imtiazur S.
09/03/15