2x+1/x-4=2x+1/x-5
2x+1/x-4-2x+1/x-5=0
(2x+1)( 1/x-4-1/x-5)=0
(2x+1)(x-5-x+4/(x-4)(x-5))=0
(2x+1)(-1/(x-4)(x-5))=0
2x+1=0 (-1/(x-4)(x-5))=0
x=-1/2 或x=4(增根)x=5(增根)
2x+1/x-4=2x+1/x-5
2x+1/x-4-2x+1/x-5=0
(2x+1)( 1/x-4-1/x-5)=0
(2x+1)(x-5-x+4/(x-4)(x-5))=0
(2x+1)(-1/(x-4)(x-5))=0
2x+1=0 (-1/(x-4)(x-5))=0
x=-1/2 或x=4(增根)x=5(增根)