Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem B. 4796. (May 2016)

B. 4796. Solve the following equation on the set of real numbers:

\(\displaystyle x^2-6\{x\}+1=0, \)

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 June 10, 2016.


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.

Problems in Mathematics of KöMaL, May 2016