#sqrt(x+2)=sqrt(6x)-1#
#(sqrt(x+2))^2=(sqrt(6x)-1)^2#
#x+2=6x-2sqrt(6x)+1#
#-5x+1=-2sqrt(6x)#
#((-5x+1)/-2)^2=(sqrt(6x))^2#
#(25x^2-10x+1)/4=6x#
#(25x^2-10x+1)=24x#
#25x^2-34x+1=0#
#x=(34(+/-)sqrt(34^2-4*25*1))/(2*25)#
#x=0.03, 1.33# and 0.03 does not work when you plug it back into the equation to solve for x, so it is extraneous