Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# 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