https://doi.org/10.36719/2663-4619/109/156-160
Novruz Nasirov
Azerbaijan State Pedagogical University
Gunel Shahmammadova
Azerbaijan State Pedagogical University
kaedhra.rtt@adpu.edu.az
Solution of Some Types of Irrational Equations and Inequalities
Abstract
The concept of equations and inequalities is one of the most important areas of the school mathematics course. This is mostly explained by the fact that the concepts of equation and inequality are widely used in various fields of mathematics, as well as in solving important practical problems. Among these equations and inequalities, irrational equations and inequalities have a special role and importance.
Some types of irrational equation and inequality solving methods are considered in the article. Along with various solution methods, it is applied in artificial methods in solving irrational equations and inequalities. Regardless of what method is applied in solving irrational equations and inequalities, it is necessary to make sure that the equation or inequality obtained at each subsequent stage is the same as the previous one. Or checking the roots obtained when solving the given equation without any restrictions is one of the main issues.
In the article, especially in many cases, the methodical interpretation of the stage of expecting the new inequality to be the same as the previous one, bringing it to a rational inequality by increasing the strength of both sides of the irrational inequality several times, is given with examples.
Keywords: equation, inequality, radical, parametr, power