Question

x分之x-1-x-1分之2x=-1方程怎么解

Answer 1

(x-1)/x-2x/(x-1)=-1

两边乘以x(x-1)得(x-1)²-2x²=-x(x-1)

整理得3x=1

解得x=1

或移项

(x-1)/x=2x/(x-1)-1=(x+1)/(x-1)

即得(x-1)²=x(x+1)

整理得3x=1

解得x=1