在初中代数的习题中 ,常会遇到一些特殊的高次方程 ,如用常规方法来解 ,过程一般较为繁琐 ,且容易出错。现例举出来 ,供同学们参考。一、中值变换例 1　解方程 :x4+ (x - 2 ) 4 =82 .分析 :直接展开较繁 ,取x与 (x - 2 )的算术平均数设为 y ,进行中值变换。解 :令x - 1 =y ,则 In the exercises of junior high school algebra, we often encounter some special high-order equations. If we use conventional methods to solve, the process is generally more tedious and error-prone. Examples are given for reference by students. First, the median transformation example 1 Solution equation: x4 + (x - 2) 4 = 82. Analysis: direct more complex, take x and (x - 2) as the arithmetic average of y, for the median transformation. Solution : Let x - 1 = y