6(x分之1 + x+5分之1）=1

题目

6(x分之1 + x+5分之1）=1

答案

6[1/X+1/(x+5)]=1
[1/X+1/(x+5)]=1/6
通分 (2x+5)/[x(x+5)]=1/6
6(2x+5)=x(x+5)
化简 x²-7x-30=0
(x-10)(x+3)=0
解得x=10或x=-3