1, Introduction: Finding the root solution of quintic equation with one yuan has puzzled mathematicians for more than 300 years. The work of Abel and Galois proved that the quintic equation with one variable has no root solution. 1930 Hua's article "Why can't the solution of Su Jiaju's algebraic quintic equation be established" is a rebuttal to the attempt to overthrow Abel and Galois' proof, and it is also a famous work of Hua. Recently, domestic scholars claim that they have solved the quintic equation of one yuan. This solution is limited to the numerical solution of the root of the quintic equation with one variable.
2. Early research:/kloc-In the 6th century, with the efforts of Italian mathematicians Tattaglia, cardano, Ferrari and others, the method of solving cubic equations and quartic equations with roots was finally solved. In this way, using algebraic symbols, whether it is a quadratic equation, a cubic equation or a quartic equation, the general solution can be found by the roots. So mathematicians began to look for the formula solution of the quintic equation with one variable. Despite repeated setbacks, people still believe that the solution of quintic equation is hidden in a corner.
3. Conclusion: At the beginning of 1830, Galois submitted a paper on quintic equation to the French Academy of Sciences to compete for a math prize. Although the paper does not provide a solution to the quintic equation, it shows Galois' mathematical talent, and even Cauchy thinks it may win the prize. This article was handed over to Fourier, secretary of the Academy of Sciences, for review, but Fourier died before he finished writing the review report. The whereabouts of this article is unknown. Galois was also expelled from school for participating in student riots.