Abstract
The main task of teaching mathematics in secondary schools is to ensure that students have a solid and conscious mastery of the system of mathematical knowledge and skills necessary in everyday life and work for each member of modern society, sufficient to study related disciplines and continue their education. Along with solving the main problem, advanced study of mathematics provides for the formation of students ' sustained interest in the subject, the identification and development of their mathematical abilities. In-depth study of the subject should provide preparation for entering the UNIVERSITY and continuing education, as well as for professional activities that require a sufficiently high mathematical culture. The topic "Root of the nth degree" is necessary for the study of many sections of algebra, namely, to find the derivative and primitive. The article deals with the solution of cubic equations using the Cardano formula. The algorithm for applying this feature is described.
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