Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?

Problem B. 4685. (January 2015)

B. 4685. Determine the smallest possible value of \(\displaystyle x^{2}+y^{2}+z^{4}\), where \(\displaystyle x\), \(\displaystyle y\) and \(\displaystyle z\) are positive numbers that add up to 34.

(5 pont)

Deadline expired on February 10, 2015.


84 students sent a solution.
5 points:62 students.
4 points:1 student.
3 points:1 student.
2 points:4 students.
1 point:11 students.
0 point:5 students.

Problems in Mathematics of KöMaL, January 2015