Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem B. 4694. (February 2015)

B. 4694. Find all real numbers \(\displaystyle p_1\), \(\displaystyle q_1\), \(\displaystyle p_2\), \(\displaystyle q_2\) such that \(\displaystyle p_2\) and \(\displaystyle q_2\) are roots of the equation \(\displaystyle x^3+p_1x+q_1=0\), and \(\displaystyle p_1\) and \(\displaystyle q_1\) are roots of the equation \(\displaystyle x^3+p_2x+q_2=0\).

Suggested by Z. Bertalan, Békéscsaba

(4 pont)

Deadline expired on March 10, 2015.


15 students sent a solution.
4 points:Andi Gabriel Brojbeanu, Imolay András.
2 points:5 students.
1 point:7 students.
0 point:1 student.

Problems in Mathematics of KöMaL, February 2015