New Five Roots to Solve Quantic Equation in General Forms by Using Radical Expressions Along With New Theorems (2210.07957v1)

Abstract: This paper presents new formulary solutions for quantic polynomial equations in general forms, where we present five solutions for any fifth degree polynomial equation with real coefficients, and thereby having the possibility to calculate the five roots of any quantic equation nearly simultaneously. The proposed roots for fifth degree polynomials in this paper are structured basing on new proposed solutions for fourth degree polynomial equations, which we developed in order to reduce the expression of any quantic polynomial to an expression of quartic polynomial.