Question

x=√6+√6+√6+√6........infinity find x if x is a natural no.

Answer 1

Step-by-step explanation:

As the series is tending to infinity,this may be written as

x=√(6+x)

Squaring above

x^2-x-6=0

x^2–3x+2x-6=0

Solving above,we get: x=3, x=-2

Now x=-2 is not possible as the root cannot have negative values.

{-2=√(6–2)}

Therefore, x=3 is the only solution!

Hope it helps!

Answer 2

Answer:

Step-by-step explanation:

x = √6√6√6...             (1)

x²=6√6√6√6...           (2)

Dividing equation 2 from 1 we get,

x²/x = 6√6√6...  / √6√6√6..

X=6