What is the value of x for which \(\sqrt{x + \sqrt{x + \sqrt{x + \ldots}}} = 5\)
[ sqrt( x + sqrt( x + sqrt( x = ... ] = 5
Square both sides:
x + [ sqrt( x + sqrt( x + sqrt( x = ... ] = 25
Since [ sqrt( x + sqrt( x + sqrt( x = ... ] = 5:
x + 5 = 25
x = 20
Thank you!
+865 
