Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 425. (September 2014)

K. 425. We have two machines that transform numbers. If a positive number is fed in such a machine, the output will also be a positive number. Furthermore, the output only depends on the input, that is, if the same number is fed to the same machine again, then the result will also be the same. Our two machines are \(\displaystyle A\) and \(\displaystyle B\). If a number is fed in machine \(\displaystyle A\), and the output is used as input for machine \(\displaystyle B\), then the result will be the square root of the original number. If, on the other hand, a number is fed to machine \(\displaystyle B\) first, and that output is fed to \(\displaystyle A\), then the result will be the square of the original number. If the number 12 is fed to machine \(\displaystyle A\), the output will be 25. What will be the output of machine \(\displaystyle A\) if it is fed the number 144?

(6 pont)

Deadline expired on October 10, 2014.


Statistics:

69 students sent a solution.
6 points:Dömötör Emőke, Encz Koppány, Kovács Marcell Dorián , Németh Csilla Márta, Sisák László Sándor, Tamási Kristóf Áron.
5 points:Csernik Balázs, Csilling Eszter, Kóczán Kristóf, Kollár Johanna, Kovács András, Nagy Viktor, Németh Levente , Páhoki Tamás, Perényi Gellért, Slenker Balázs, Szabadkai Beatrix.
4 points:11 students.
3 points:4 students.
2 points:1 student.
1 point:1 student.
0 point:32 students.
Unfair, not evaluated:3 solutions.

Problems in Mathematics of KöMaL, September 2014