解方程:x/(x+3)+6/(x²-9)＝1/(x-3)

解方程:x/(x+3)+6/(x²-9)＝1/(x-3)
解方程:x/(x+3)+6/(x²-9)＝1/(x-3)

解方程:x/(x+3)+6/(x²-9)＝1/(x-3)
两边乘(x+3)(x-3)
x²-3x+6=x+3
x²-4x+3=0
(x-1)(x-3)=0
x=1,x=3
经检验,x=3时分母x-3=0
增根,舍去
所以x=1