Question

初二数学题：分式方程

解方程:x+1分之5x-x+6分之x=4

Answer 1

x+1分之5x-x+6分之x=4
5x*(x+6)-x*(x+1)=4*(x+1)*(x+6)
5x^2+30x-x^2-x=4x^2+28x+24
5x^2-x^2-4x^2-x-28x+30x=24
x=24
注意，求出解后，一定要带人分母中进行检验

Answer 2

5x/(x+1)-x/(x+6)=4 两边乘（x+1）(x+6)
5x(x+6)-x(x+1)=4(x+1)(x+6)
5x^2+30x-x^2-x=4x^2+28x+24
4x^2+29x=4x^2+28x+24
x=24