RT Journal Article SR Electronic A1 Černohlávek, Vít A1 Klimenda, František A1 Suszynski, Marcin A1 Štěrba, Jan A1 Zdráhal, Tomáš T1 Optimizing Manufacturing Technology: Unraveling Symmetry in Cubic Equation Roots JF Manufacturing Technology Journal YR 2024 VO 24 IS 5 SP 731 OP 737 DO 10.21062/mft.2024.077 UL https://journalmt.com/artkey/mft-202405-0002.php AB In the realm of engineering the quest for optimization is ceaseless. This article explores the intricate relation-ship between cubic equations and the practical world of production technologies, unearthing the profound connections that underpin mathematical symmetry and its role in engineering. Cubic equations, often arising in the analysis of mechanical systems, electric circuits, and robotics, serve as indispensable tools for under-standing and enhancing real-world applications. This study delves into the methods for finding the roots of cubic equations, shedding light on the vital role of mathematics in engineering and manufacturing technology.