Question

If 5 = √x + √x + √x + ⋯ ... [infinity] then the value of x is

Answer 1

Answer:

15alone

this answer is wrong means tell answer

Answer 2

Answer:

LHS:

Let y=√(x+√(x+√(x+…..)))

y=√(x+y)

y^2=x+y

Therefore, y^2-y=x…………. (1)

RHS:

Let y=√(x√(x√(x…..)))

y=√(xy)

y^2=xy

Therefore, y=x…………. (2)

From (1) and (2)

x=y^2-y=y

y^2=2y

Therefore, y=2.

Hence, x=2.

hope it helps.. might not be exact...

please brainlist it