Mathematical and Physical Journal
for High Schools
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Problem C. 1342. (February 2016)

C. 1342. Determine the value of the parameter \(\displaystyle a\) such that the equation below has exactly two solutions: \(\displaystyle x^3 -a=\sqrt[3]{x+a}\,\). Find the solutions, too.

(5 pont)

Deadline expired on March 10, 2016.


Statistics:

27 students sent a solution.
5 points:Csapó Márton, Csider Márk, Csorba Benjámin, Horváth András János, Kasó Ferenc, Kiss Vivien Mercédesz, Kocsis Júlia, Kormányos Hanna Rebeka, Matusek Márton, Mészáros 01 Viktória, Nagy 911 Viktória, Sudár Ákos, Tatai Mihály.
4 points:Balázs Ákos Miklós, Fischer Kornél, Kósa Szilárd, Tar Viktor.
3 points:2 students.
2 points:1 student.
1 point:1 student.
0 point:4 students.
Unfair, not evaluated:2 solutions.

Problems in Mathematics of KöMaL, February 2016