Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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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.


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 solution.

Problems in Mathematics of KöMaL, September 2015