# Difference between revisions of "AoPS Wiki talk:Problem of the Day/July 20, 2011"

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{{:AoPSWiki:Problem of the Day/July 20, 2011}} | {{:AoPSWiki:Problem of the Day/July 20, 2011}} | ||

==Solution== | ==Solution== | ||

+ | We insert <math>y = \frac{5}{2}</math> into the equation and find <math>x</math> that way: | ||

+ | |||

+ | <math>\sqrt{x} = (\frac{5}{2})^3</math> | ||

+ | <math>\sqrt{x} = \frac{125}{8}</math> | ||

+ | <math>x = \frac{15625}{64}</math> | ||

+ | |||

+ | Note that this is equivalent to <math>(\frac{5}{2})^6</math>. | ||

{{potd_solution}} | {{potd_solution}} |

## Revision as of 20:30, 19 July 2011

## Problem

AoPSWiki:Problem of the Day/July 20, 2011

## Solution

We insert into the equation and find that way:

Note that this is equivalent to .
*This Problem of the Day needs a solution. If you have a solution for it, please help us out by adding it.*