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.

Statistics:

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