A Method for Solving Extremal Problems in Algebra and Stereometry

Ivaylo Dimitrov 1), Nina Dimitrova 2), Miroslav Hristov 3), Elis Kodzha 4), Mehmed Kodzha 5)

1)High School of Mathematics Nancho Popovich Shumen (Bulgaria)
2)Secondary School Panayot Volov Shumen (Bulgaria)
3)Faculty of mathematics and computer science Shumen University (Bulgaria)
4)High School of Agriculture and Food Technology Shumen (Bulgaria)
5)High School of Mathematics Nancho Popovich Shumen (Bulgaria)

https://doi.org/10.53656/math2026-1-1-mse

Abstract. In this article, we propose a method for solving extremal problems in algebra and stereometry. The method is applied to problems that can be addressed using basic elementary inequalities and trigonometric equalities in triangles. These problems are reduced to еnding the minimum or maximum value of a function. The aim of the method is to construct a systematic algorithm for solving extremal problems.

Keywords: extremal problems, smallest value of a function, largest value of a function

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