Solve Nested Radical Sqrt Equation by Two Methods

Link: A universal way to de-nest sqrt:

[MathSolvingChannel]

Method3: directly square both sides and simplify

[ggdsbqn]

I Solve for all, If x€[1;2] I got x=3 no solution, because 1《x《2 .and if x€[2;+~[ .i got x=1 no solution at1. and for x=5 only solution S={5}

[rangaswamyks]

/x+2/x-1=/x-1+1
/x-2/x-1=/x-1-1
So x^2-6x+1=0
So.x=5

I solved like this sor