Question

Solve for x:

x=10/(20/(20/(20/(20/(20/(...+1)+1)+1)+1)+1)+1),

where ... means continuation of the “(20/” pattern on the left and “+1)” on the right.

 

 

Answer 1

You are as smart as you are intelligent, you gave away the solution to the other problem.

The solution is

x = -10 + sqrt(110)

and

x = -10 - sqrt(110)

Here is complete solution

Thank You Sir

 

 

Comments

No, sorry, it’s not the right answer. In fact, there are two solutions for x. But you do have the right idea. If you follow your logic, that is, x/10=1/(20+x), then substitute for x (=10/(20+x) you get:

x=10/(20+10/(20+10/(20+10...

This is not the same as the given equation. Hint: 2x=20/(20/(20/(20...