Difference between revisions of "AoPS Wiki talk:Problem of the Day/July 13, 2011"
(new problem talk page) |
(→Solution) |
||
| Line 2: | Line 2: | ||
{{:AoPSWiki:Problem of the Day/July 13, 2011}} | {{:AoPSWiki:Problem of the Day/July 13, 2011}} | ||
==Solution== | ==Solution== | ||
| − | {{ | + | We have <math> \sqrt{x+\sqrt{x+\sqrt{x+\cdots}}}=36 </math>, so <math> x+\sqrt{x+\sqrt{x+\cdots}}=36^2=1296 </math>, and <math> \sqrt{x+\sqrt{x+\cdots}}=1296-x </math>. However, we already know that the [[LHS]] is <math> 36 </math>, so we have <math> 1296-x=36 </math>, and <math> x=\boxed{1260} </math>. |
Latest revision as of 12:33, 13 July 2011
Problem
AoPSWiki:Problem of the Day/July 13, 2011
Solution
We have 
, so 
, and 
. However, we already know that the LHS is 
, so we have 
, and 
.
