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中学代数中所研究的无理方程,主要是在实数集合范围内仅含有限个二次无理式的无理方程.其解法是通过移项,把方程的两边同时平方,从而把无理方程变形为有理方程来解.这种解法依据如下定理:定理如果 f(x)和 g(x)都是关于 x 的代数式,那么方程f~2(x)=g~2(x)是方程f(x)=g(x)的结果.
The irrational equations studied in middle school algebras mainly contain only a limited number of quadratic irrational irrational equations within the set of real numbers. The solution is to shift the irrational equations into rational equations by shifting the term and squaring both sides of the equation simultaneously. To solve. This solution is based on the following theorem: Theorem If both f(x) and g(x) are algebraic expressions about x, then the equation f~2(x)=g~2(x) is the equation f(x)= The result of g(x).