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>. |
Latest revision as of 08:41, 20 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 .