解放程:x+5/1+x+8/1=x+6/1+x+7/1

题目

解放程:x+5/1+x+8/1=x+6/1+x+7/1

答案

1/(x+5)+1/(x+8)=1/(x+6)+1/(x+7),移项,1/(x+8)-1/(x+7)=1/(x+6)-1/(x+5)通分,(x+7)/(x+8)(x+7)-(x+7)/(x+7)(x+8)=(x+5)/(x+6)(x+5)-(x+6)/(x+5)整理,-1/(x+7)(x+8)=-1/(x+5)(x+6)所以(x+7)(x+8)=(x+5)(x+6)即x^2+15...