解分式方程: (2/X-3)—(2/X-4)=(2/X-5)—(2/X-6)怎么做?(具体过程)

问题描述:

解分式方程: (2/X-3)—(2/X-4)=(2/X-5)—(2/X-6)怎么做?(具体过程)

先化简下:-2/(x-3)(x-4)=-2/(x-5)(x-6)两边同乘 (x-3)(x-4)(x-5)(x-6)-2(x-5)(x-6)=-2(x-3)(x-4)-2(x^2-11x+30)=-2(x^2-7x+12)-2x^2+22x-60=-2x^2+14x-24x=4.5检验:把x=4.5代入得(x-3)(x-4)(x-5)(x-6)≠0∴x=4.5是...