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分式方程是含有分母并且分母中含有未知数的方程。例如x+1/3x-2=10,4y/1+4y=1,x-2/1=x~2-4/1等都是分式方程.而方程2/3x+1=3/x-1,8/7y+1=5/6y~2等。虽然方程中有分母,但分母中不含未知数,因此它们不是分式方程,仍然是整式方程。解分式方程比解整式方程要多一个步骤:必须“验根”.什么是验根?请看下面的例题.例1解方程:x+1/3x-4=10。
The fractional equation is an equation that contains the denominator and the denominator contains unknowns. For example, x + 1 / 3x-2 = 10,4y / 1 + 4y = 1, x-2/1 = x ~ 2-4 / 1 and so on are all fractional equations and equation 2 / 3x + 1 = 3 / x -1, 8 / 7y + 1 = 5 / 6y ~ 2 and so on. Although there are denominators in the equation, but the denominator contains no unknowns, they are not fractional equations and remain integral equations. The solution to a fractional equation is one more step than a solution to an integral equation: It must be “root-tested.” What is a root-mean-square? See the following example: Example 1 Solve the equation: x + 1 / 3x-4 =