解分式方程 (1/x+4 ) +(1/x+6)=(1/x+3 ) +(1/x+7)

问题描述:

解分式方程 (1/x+4 ) +(1/x+6)=(1/x+3 ) +(1/x+7)
How to do
没错啊,就是这样的

(1/x+4 ) +(1/x+6)=(1/x+3 ) +(1/x+7)1/(x+4)-1/(x+3)=1/(x+7)-1/(x+6)(x+3-x-4)/(x+4)(x+3)=(x+6-x-7)/(x+7)(x+6)(-1)/(x^2+7x+12)=-1/(x^2+13x+42)x^2+7x+12=x^2+13x+426x=-30x=-5检验.