50/x+5=50/(x-0.5)
10/x+1=10/(x-0.5)
10(x-0.5)+x(x-0.5)=10x
10x-5+x²-1/2x=10x
x²-1/2x-5=0
2x²-x-10=0
(2x-5)(x+2)=0
x=5/2或x=-2
经检验,均是方程的根
50/x+5=50/(x-0.5)
10/x+1=10/(x-0.5)
10(x-0.5)+x(x-0.5)=10x
10x-5+x²-1/2x=10x
x²-1/2x-5=0
2x²-x-10=0
(2x-5)(x+2)=0
x=5/2或x=-2
经检验,均是方程的根