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<p>In this article, a method for solving a principal quintic equation is presented, wherein the principal quintic equation is transformed into two quartic equations in a novel fashion; the coefficients of the quartic equations are certain types of convergent infinite series functions in the coefficients of the principal quintic equation, and these functions are termed as ultraradicals. Solving the two quartic equations so obtained, we pick one real solution of the given principal quintic equation from the set of eight solutions.</p>

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Solution of Principal Quintic Equation

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Raghavendra G. Kulkarni

摘要

In this article, a method for solving a principal quintic equation is presented, wherein the principal quintic equation is transformed into two quartic equations in a novel fashion; the coefficients of the quartic equations are certain types of convergent infinite series functions in the coefficients of the principal quintic equation, and these functions are termed as ultraradicals. Solving the two quartic equations so obtained, we pick one real solution of the given principal quintic equation from the set of eight solutions.