Mary's radical

Algebra Level 2

It can be shown that for any positive real number rr, the infinitely nested radical expression r+r+r+ \sqrt{ r + \sqrt{r + \sqrt{r + \cdots}}} is a finite positive number. Find xx such that x+x+x+=17.\sqrt{x+\sqrt{x+\sqrt{x+\ldots}}}=17.

This problem is posed by Mary J.

×

Problem Loading...

Note Loading...

Set Loading...