Question

Identify all the following solutions of the square root of x+14 +2 = x (click photo)

Answer 1

`√(x+14)+2=x\\ √(x+14)=x-2\\ √(x+14)^2=(x-2)^2\\ x+14=x^2-4x+4\\ x+14-(x^2-4x+4)=0\\ -x^2+5x+10=0\\ x1,2=(5+-√(65))/(2)`

insert both x solutions to see if they match the origional equation -> only
`(5+√(65))/(2)` is correct

which is neither equal to -6 or 1 so it is "none of the above"