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自编根式方程的练习题和试题比较困难,随便写出的根式方程通常很不好解。下面介绍一种设计这类问题的方法。1.只用常数写出含一个或多个根号的等式。如16~(1/2)=9~(1/2)+1;2.令 x 等于某个任意常数,取定的值即为方程的一个解(可能还有其它解)。如 x=5;3.利用 x 改写第一步写出的等式。注意,由于被开方数16和9可用不同形式由 x 表出,所以可写
It is difficult to self-compile the exercises and questions of the root equation, and it is often difficult to solve the root equations that are written casually. Here’s how to design this kind of problem. 1. Use only constants to write equations that contain one or more radicals. For example, 16~(1/2)=9~(1/2)+1; 2. Let x be equal to an arbitrary constant. The set value is a solution of the equation (and possibly other solutions). Such as x = 5; 3. Use x to rewrite the equation written in the first step. Note that since the squared numbers 16 and 9 can be represented by x in different forms, it can be written