2x(x-3)/(x+3)(x-3)+(x+3)/(x-3)-2(x+3)/(x+3)²=3
2x(x-3)/(x+3)(x-3)+(x+3)/(x-3)-2/(x+3)=3
两边乘以(x+3)(x-3)得
2x(x-3)+(x+3)²-2(x-3)=3(x+3)(x-3)
2x²-6x+x²+6x+9-2x+6=3x²-27
-2x=-42
x=21
检验:x=21是方程的解
2x(x-3)/(x+3)(x-3)+(x+3)/(x-3)-2(x+3)/(x+3)²=3
2x(x-3)/(x+3)(x-3)+(x+3)/(x-3)-2/(x+3)=3
两边乘以(x+3)(x-3)得
2x(x-3)+(x+3)²-2(x-3)=3(x+3)(x-3)
2x²-6x+x²+6x+9-2x+6=3x²-27
-2x=-42
x=21
检验:x=21是方程的解