Problem 625
(a) Legfeljebb mekkora lehet \(\displaystyle 2x^3+5y^3+7z^3\), ha \(\displaystyle x^4+y^4+y^4=1\)? (b) Legfeljebb mekkora lehet \(\displaystyle x^3+y^3+z^3\), ha \(\displaystyle 2x^4+3y^4+5y^4=1\)? Difficulty: 4. |
Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government |