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==
{{potd_solution}}
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We insert <math>y = \frac{5}{2}</math> into the equation and find <math>x</math> that way:
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<math>\sqrt{x} = (\frac{5}{2})^3</math>
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<math>\sqrt{x} = \frac{125}{8}</math>
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<math>x = \frac{15625}{64}</math>
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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 $y = \frac{5}{2}$ 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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