2(x+1)^2/x^2+(x+1)/x-6=0解:令(x+1)/ x= t 则原方程转化为:2t²+t-6=0即(2t-3)(t+2)=0得t=1.5或-2代人(x+1)/ x= t 则x=2或-1/3
设(x+1)/x=z 则原方程化简为 2z^2 + z -6 =0 ( 2z-3)(z+2)= 0 求得z1=3/2 z2=-2 将z1,z2 代入(x+1)/x=z得x1=2 x2=-1/3