SOLUTION OF SOME HIGHER-DEGREE EQUATIONS
Keywords:
Higher-order equations, form transformation, method of variable transformation, quadratic equation, biquadratic equation, cubic equation, mathematical thinking.Abstract
This article studies effective methods for solving some higher-order and complex algebraic equations. Methods of transforming the given equations into simple, incomplete quadratic and biquadratic equations using special variables and form transformations are analyzed. Each case is illustrated by specific mathematical examples. The proposed methods serve to expand the scope of logical and analytical thinking of students, to show different approaches to mathematics.
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