Problem B. 4796. (May 2016)
B. 4796. Solve the following equation on the set of real numbers:
\(\displaystyle
x^26\{x\}+1=0,
\)
where \(\displaystyle \{x\}\) stands for the fractional part of a number \(\displaystyle x\) (that is, the difference obtained when the largest integer not greater than \(\displaystyle x\) is subtracted from \(\displaystyle x\)).
Proposed by J. Szoldatics, Budapest
(4 pont)
Deadline expired on 10 June 2016.
Statistics:
109 students sent a solution.  
4 points:  79 students. 
3 points:  17 students. 
2 points:  9 students. 
1 point:  3 students. 
0 point:  1 student. 
