MATHEMATICS

The development of an approach for the solution of the fourth degree algebraic equation

Yu. A. Nesmeev

Magnitogorsk State Technical University

Abstract: Connections between roots of an equation and its resolvent are deduced. Statements establishing the membership of roots to the set of real numbers or to the set of complex numbers with nonzero imaginary parts without solving the equation are proposed. Formulas for calculating the components of equation roots are deduced.

Keywords: equation, solution, table.

UDC: 512.1; 517.53; 519.6

Received: 06.07.2012