根与系数关系中的高等代数思想

Ideas of Advanced Algebra and Relationship between Roots and Coefficients

利用高等代数的思想方法讨论无理方程∑nk=0an-k(qαx2+βx+γ)k=0(a0≠0,q∈N),并给出其根与系数的关系.

Using ideas of advanced algebra, this paper discusses irrational equation n∑k=0 a_n-k（q√αx^2＋βx＋γ）^k=0（a0≠0,q∈N） and reveals the relationship between the roots and the coefficients.