Mary's radical
Algebra
Level
2
It can be shown that for any positive real number \(r\), the infinitely nested radical expression \[ \sqrt{ r + \sqrt{r + \sqrt{r + \cdots}}} \] is a finite positive number. Find \(x\) such that \[\sqrt{x+\sqrt{x+\sqrt{x+\ldots}}}=17.\]
This problem is posed by Mary J.
by
Arron Kau