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

 Feb 5, 2021
 #1
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According to my graphing calculator, there is only one solution.

 Feb 6, 2021
 #2
avatar+113120 
+1

I got a different answer.

 

\(let\;\;r=x+\delta\qquad \)   Where x is an integer and     \(0\le\delta<1\)

 

then the problems becomes 

 

\(\lfloor r \rfloor + r = 15.5\\ x+x+\delta=15.5\\ \)

I will leave you to think about this and to determine for yourself how many solutions that there are.

 Feb 6, 2021

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