Question

解方程x/(x-1)+2/x=1

Answer 1

x/(x-1)+2/x=1
两边同乘以X(X-1)得X^2+2(X-1)=X(X-1)
化简得3X=2
X=2/3
（X不等于0和1）

Answer 2

x²/x(x-1) + 2x/x(x-1)=1
x²/x(x-1) + 2(x-1)/x(x-1)=1
x²+2x-2/x(x-1)=1
x²+2x-2=x(x-1)
x²+2x-2=x²-x
3x=2
x=2/3

=（-x）-x/（x²-2x+1））÷1/x