你写的有问题,估计是这样的:
第1题
5/(x+3)+6/(x^2-9)=1/(x-3)
5/(x+3)+6/((x+3)(x-3))=1/(x-3) 两边都乘以(x+3)(x-3)得
5(x-3)+6=x+3
x=3
第2题
(5x-4)/(2x-4)=(3x+5)/(3x-6)-2
(5x-4)/(2(x-2)=(3x+5)/(3(x-2)-2两边都乘以6(x-2)得
3(5x-4)=2(3x-5)-6*2(x-2)
x=46/21
第3题猜不出来是什么
第4题
(3-x)/(1-x)-(5-x)/(7-x)=1-(x^2-1)/((x-1)(x-7))
(x-3)/(x-1)-(x-5)/(x-7)=1-(x^2-1)/((x-1)(x-7))两边都乘以(x-1)(x-7)得
(x-3)(x-7)-(x-5)(x-1)=(x-1)(x-7)-(x^2-1)
(x^2-10x+21)-(x^2-6x+5)=(x^2-8x+7)-(x^2-1)
x=-2