Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation

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Problem B. 4788. (April 2016)

B. 4788. Solve the following simultaneous equations on the set of real numbers:

\(\displaystyle x^2+y^3 =x+1,\)

\(\displaystyle x^3+y^2 =y+1.\)

Proposed by J. Szoldatics, Budapest

(4 pont)

Deadline expired on May 10, 2016.

114 students sent a solution.

4 points: 82 students.

3 points: 9 students.

2 points: 8 students.

1 point: 13 students.

0 point: 2 students.