Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem C. 1268. (January 2015)

C. 1268. Prove that for all real numbers $\displaystyle a$ and $\displaystyle b$, $\displaystyle a^4+b^4+2\ge 4ab$.

(5 pont)

Deadline expired on February 10, 2015.

### Statistics:

 159 students sent a solution. 5 points: 94 students. 4 points: 31 students. 3 points: 13 students. 2 points: 11 students. 1 point: 3 students. 0 point: 2 students. Unfair, not evaluated: 5 solutions.

Problems in Mathematics of KöMaL, January 2015