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| Open Access | UNUSUAL TYPES OF IRRATIONAL EQUATIONS AND METHODS FOR SOLVING THEM
Solayeva Mehribon Norimonovna , Teacher at the Department of System Analysis and Mathematical Modeling, University of World Economy and DiplomacyAbstract
This article examines one of the key topics in mathematics that requires critical thinking and contributes to the development of cognitive abilities — "Irrational Equations." In particular, it analyzes examples of solving such equations by raising both sides to a power, as well as by multiplying both sides by the conjugate expression.
The main goal of this article is to encourage students to adopt innovative ways of thinking when solving various mathematical problems and to promote the use of non-standard methods in the process. Additionally, through the analysis of this topic, the article aims to teach secondary school students how to determine when irrational equations can be solved either by raising both sides to a power or by multiplying them by the conjugate expression.
Keywords
irrational equations, domain of definition, introducing a new variable, denoting an expression.
References
Solayeva M.N. Analysis of several examples for introducing the topic of irrational equations. // Inter Education & Global Study. 2025. Vol.3, №7. Pp. 344–349. https://researcher.uz/docs/irratsional-tenglamalar-mavzusiga-kirishga-oid-bir-nechta-misollar-tahlili-326625
M.I. Skanaviy. Collection of Problems in Mathematics. “Bilim va Intellectual Salohiyat”, Tashkent, 2018.
A. U. Abduhamidov, H.A. Nasimov, U.M. Nosirov, J. H. Husanov. Fundamentals of Algebra and Mathematical Analysis: Textbook for Academic Lyceums, – T.: “O‘qituvchi” NMIU, 2008. Q.I. – 400 p.
M.A. Mirzaaxmedov, Sh.N. Ismoilov, A.Q. Amanov. “Mathematics Textbook for Grade 10”, Part I, Tashkent, 2017.
Interdisciplinary Connections in General Secondary Schools. Academic Research in Educational Sciences, pp. 315–320. https://scholar.google.com/citations?view_op=view_citation&hl=ru&user=0PndwbAAAAAJ&citation_for_view=0PndwbAAAAAJ:LkGwnXOMwfcC
The Role of Information and Communication Technologies in the Effective Organization of the Learning Process. «Science and Innovation», pp. 24–27. https://scholar.google.com/citations?view_op=view_citation&hl=ru&user=0PndwbAAAAAJ&citation_for_view=0PndwbAAAAAJ:2osOgNQ5qMEC
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