Problem C. 1307. (September 2015)

C. 1307. For what real number q will the numbers \(\displaystyle \big(3-\sqrt{5}\,\big)\), \(\displaystyle \Big(\frac{3\sqrt{5}}{5}-q\Big)\), \(\displaystyle \Big(0,6-\frac{1}{\sqrt{5}}\Big)\) form a geometric progression?

(5 pont)

Deadline expired on October 12, 2015.

Statistics:

110 students sent a solution.
5 points:	58 students.
4 points:	14 students.
3 points:	21 students.
2 points:	10 students.
1 point:	3 students.
0 point:	3 students.
Unfair, not evaluated:	1 solutions.

Problems in Mathematics of KöMaL, September 2015