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本文在实数范围内给出形如tf(x)+s/(f(x))=t+s和f(x)+1/(f(x))=a+1/a的一类特殊分式(无理)方程的简捷解法。为此,先介绍如下两个同解方程的命题。命题1 求证方程tf(x)+s/(f(x))=t+8 (其中t、s≠0) 方程f(x)=1或f(x)=s/t.
This article gives a special type of special form in the real number range: tf(x)+s/(f(x))=t+s and f(x)+1/(f(x))=a+1/a. Simple and Explicit Solutions to Fractional (irrational) Equations. To do this, first introduce the following two propositions of the solution equation. Proposition 1 The verification equation tf(x)+s/(f(x))=t+8 (where t, s≠0) Equation f(x)=1 or f(x)=s/t.