一道除法题2---+x=5x-1

Question

一道除法题
2
--- + x =5
x-1

Answer 1

2/(x-1) +x =5
2/(x-1)=5-x
(x-1)(5-x)=2
5x-x²-5+x=2
-x²+6x=2+5
各项乘以-1
x²-6x=-7
x²-6x+9=-7+9
(x-3)²=2
x-3=±√2
x1=√2+3 x2=-√2+3
经检验 x1=√2+3 x2=-√2+3 是原方程的解.