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