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How many values of r are there such that $\lfloor r \rfloor + r = 15.5 + \lfloor r/4 \rfloor?$

 Jun 10, 2022
 #1
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There is no value of r that makes this true

 

See the graph here (in  x)  of  the function   :     floor (r)  + r  - 15.5 - floor (r/4)

 

https://www.desmos.com/calculator/sb9nm8plvj

 

If we set this function to 0,  the graph never intercepts the  x  axis

 

So....no solution

 

 

cool cool cool

 Jun 10, 2022

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