Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem C. 1301. (September 2015)

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 pont)

Deadline expired on October 12, 2015.

### Statistics:

 197 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.

Problems in Mathematics of KöMaL, September 2015