Question

X=√(1+√(1+√(1 to infinity. Find value of x

Answer 1

I hope that help you

Answer 2

Answer:

x=3

Step-by-step explanation:

Let us assume : x= root(6+root(6 + root(6 + ………

So,

x= root(6+x)

Square both sides

x^2=6+x

Solve the equation

x^2=6+x

x^2-x-6=0

(x-3)(x+2)=0

So, x=3 or -2.

But taking -2 as the answer would mean we are taking root of (-2) . Considering the fact that x belongs to the set of real numbers , we discard the solution x=-2.

So the answer is x =3.