四元一次不定方程的公式解

A Formula Method for Finding the Solution of Linear Diophantine Equations in Four Unknowns

在已发行的数论编著中,都只介绍不多于三元的一次不定方程的公式解。本文探讨四元一次不定方程的公式解。四元一次不定方程的公式解有的两种表现形式,这两种表现形式,既有共性,又有个性。运用公式解解题,操作可行,步骤简化。

The published books on mathematics only discuss the formula method for finding the solutions of linear diophantine equations in less than three unknowns. This article analyzes a formula solution for finding the solution of linear Diophantine equations in four unknowns. There are two ways of it, which have generality and individuality. The formula method simplifies the solution.