交换代数中实系数二次方程的根

On Real Coefficient Quadratic Equation's Root of Commutative Algebra

给出了交换代数S中二次方程aX2+bX+cIS=0S,a,b,c∈R,a≠0(其中IS,0S分别是交换代数S中的单位元和零元,X∈S)的求根公式和根与系数的关系.

This paper puts forward the formula of roots and the relationship between roots and the coefficients of the following quadratic equations aX2＋bX＋cIS=0S,a,b,c∈R,a≠0 X∈S,in a commutative algebra S.