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

(Problem\Solution- July 20, 2011)
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<math>x = \frac{15625}{64}</math>
 
<math>x = \frac{15625}{64}</math>
  
Note that this is equivalent to <math>(\frac{5}{2})^6</math>.  
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Note that this is equivalent to <math>(\frac{5}{2})^6</math>.
{{potd_solution}}
 

Latest revision as of 08:41, 20 July 2011

Problem

AoPSWiki:Problem of the Day/July 20, 2011

Solution

We insert $y = \frac{5}{2}$ into the equation and find $x$ that way:

$\sqrt{x} = (\frac{5}{2})^3$ $\sqrt{x} = \frac{125}{8}$ $x = \frac{15625}{64}$

Note that this is equivalent to $(\frac{5}{2})^6$.

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