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.

### 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 solution.

Problems in Mathematics of KöMaL, September 2015