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.

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