一元三次方程根的解法

Extracting Roots of One Variable Cubic Equation

根据两个3次方根的乘积是一个常数,将卡尔达诺公式中的复数范围缩小为实数范围,推导出3个实数根公式。以两个表格的形式完整地给出了一元三次方程的两套求根公式:卡尔达诺推广求根公式和范盛金修正求根公式。

The complex number range related to Cardano formula is reduced into the real number range and the three real root formulas are deduced according to two 3-times square roots'product keeping a constant.Two sets of extracting formulas,namely,Cardano generalized extracting formula and Fan Shengjin modified extracting formula about one variable cubic equation are entirely given in two tables.