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C. 1301. Prove that if $\displaystyle x_1$ and $\displaystyle x_2$ are positive real numbers, then

$\displaystyle (x_1+x_2+1) \left(\frac{1}{x_1}+\frac{1}{x_2}+1\right)\ge 9.$

(5 points)

This problem is for grade 1 - 10 students only.

Deadline expired on 12 October 2015.

Statistics on problem C. 1301.
 199 students sent a solution. 5 points: 168 students. 4 points: 11 students. 3 points: 6 students. 2 points: 2 students. 1 point: 5 students. 0 point: 5 students. Unfair, not evaluated: 2 solutions.

• Problems in Mathematics of KöMaL, September 2015

•  Támogatóink: Morgan Stanley