Question

Sqrt(x+2)+4= x

Answer 1

\[\sqrt{(x+2)=x-4}\]
now squaring both sides (taking attention that x has to be bigger or equal than -2)
\[x+2=x^2-8x+16\]
\[x^2-9x+14=0\]
\[(x-2)(x-7)=0\]
so x=2 or x=7

Answer 2

careful here. 7 works and 2 does not

Answer 3

when you square you have to check your answer

Answer 4

true, thanks