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.
Statistics:
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