Question

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

Answer 1

$\sqrt{x+14}+2=x\\ \sqrt{x+14}=x-2\\ \sqrt{x+14}^2=(x-2)^2\\ x+14=x^2-4x+4\\ x+14-(x^2-4x+4)=0\\ -x^2+5x+10=0\\ x1,2=\frac{5+-\sqrt{65}}{2}$

insert both x solutions to see if they match the origional equation -> only $\frac{5+\sqrt{65}}{2}$ is correct

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