+0

Floors and Ceilings

0
83
2
+193

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

Feb 5, 2021

#1
+1

According to my graphing calculator, there is only one solution.

Feb 6, 2021
#2
+113120
+1

$$let\;\;r=x+\delta\qquad$$   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