关于接分式方程X-2分之X-1+3=X-3分只4X.看起来有点麻烦哦,不过一定要帮我哦.

Question

关于接分式方程
X-2分之X-1+3=X-3分只4X.看起来有点麻烦哦,不过一定要帮我哦.

Answer 1

(x-1)/(x-2)+3=4x/(x-3)
两边乘(x-2)(x-3)
(x-1)(x-3)+3(x-2)(x-3)=4x(x-2)
x^2-4x+3+3x^2-15x+18=4x^2-8x
-4x+3-15x+18=-8x
-8x+19x=3-18
11x=-15
x=-15/11
经检验,x=-15/11是方程的解