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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 points)

Deadline expired on 10 March 2015.

Statistics on problem B. 4694.
 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

•  Támogatóink: Morgan Stanley