解方程：X2--1/8(X2+2X)+X2+2X/3(X2--1)=11

设(x²-1)/(x²+2x)=t
则8t+3/t=11
8t²-11t+3=0
(8t-3)(t-1)=0
解得t=3/8 或t=1
1.t=3/8 (x²-1)/(x²+2x)=3/8
5x²-6x-8=0
(5x+4)(x-2)=0
解得x1=-4/5 x2=2
2.t=1 (x²-1)/(x²+2x)=1
2x=-1
解得x=-1/2