初中数学解方程,简单算法,高手进!1113/(x-2)-4/(x-1)=1/(x-4)-2/(x-3)写的好的话,可以追加~!

Question

初中数学解方程,简单算法,高手进!111
3/(x-2)-4/(x-1)=1/(x-4)-2/(x-3)
写的好的话,可以追加~!

Answer 1

3/(x-2)-4/(x-1)=1/(x-4)-2/(x-3)
[3(x-1)-4(x-2)]/[(x-2)(x-1)]=[x-3-2(x-4)]/[(x-3)(x-4)]
(5-x)/(x^2-3x+2)=(5-x)/(x^2-7x+12)
(5-x)(x^2-7x+12)=(5-x)(x^2-3+2) 两边同除5-x
x^2-7x+12=x^2-3x+2
4x=10
x=5/2=2.5