Question

Could anyone try and help me with a question?

sqrt(8+sqrt(8+sqrt(8+sqrt(8.

All the way to inifity?

Answer 1

\[\sqrt{8+\sqrt{8+\sqrt{8+\sqrt{8+\sqrt{8+.....}}}}}\]

I know you have to make it equal to x, and then solve somehow.. but I can't quite remember, it's been about a year since doing this.

Answer 2

I know the answer, I want to know HOW.

Thanks in advance :)

Answer 3

x^2=8+x

Answer 4

This gives:

x^2-x-8=0

-b+sqrt(b^2-4ac)/2a to solve?

Looks correct, but how did you get there? Steps please? If you can.

Answer 5

I got it, thanks anyway. :)

Appreciated. Just needed a hint