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在解决有关一元二次方程的问题时,有些同学常常因为忽视“0”而惹祸,出现错解.下面举例说明,希望同学们引以为戒,不犯或少犯这类错误.一、忽视因式可能为“0”例1解方程:2(x-3)=3x(x-3).错解两边同除以(x-3),得2=3x,x=2/3.剖析错解在方程两边同除以(x-3),就是认为x-3≠0,其实是不对的,x-3可以为0,所以错解失去了一个根.
In solving the problem of quadratic equations, some students often go wrong because of neglect of “ 0 ” The following examples illustrate, I hope students take a warning, do not make or less make such mistakes .A first, Ignoring the fact that the equation may be “0 ” Example 1 Solve the equation: 2 (x-3) = 3x (x-3) 3. Analysis of the wrong solution On both sides of the equation divided by (x-3), that is, x-3 ≠ 0, in fact, wrong, x-3 can be 0, so the wrong solution lost a root.