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

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

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

(1) x-3/x-2 +1=3/2-x(2)x/x-3=x+1/x-1(1) (x-3/x-2)+1=3/2-x(2) x/x-3=x+1/x-1
(1)(x-3)/(x-2)+1=-3/(x-2)
x-3+x-2=-3
2x=2
∴x=1
检验:x-2≠0∴x=1是原方程的根
∴原方程的根是:x=1
(2)两边乘以(x-3)(x-1)得,
x(x-1)=(x+1)(x-3)
x²-x=x²-2x-3
∴x=-3
检验:(x-3)(x-1)≠0∴x=-3是原方程的根
∴原方程的根是:x=-3

(1)(x-3/x-2)-(3/2-x)=-1
(x-3/x-2)+(3/x-2)=-1
x/x-2=-1
x=-x+2
2x=2
x=1
经检验x=1正确
(2)x(x-1)=(x+1)(x-3)
x^2-x=x^2-2x-3
-x=-2x-3
x=-3
经检验x=-3正确

(1) 解: x-3+x-2=3 (每项都乘以公分母x-3 ; )
2x=2 (移项)
x=1
检验:……
(2) 解 x(x-1)=(x+1)(x-3) (每项都乘以公分母(x-1)(x-3))
x^2-x=x^2-3x+x-3 (移项)
x=-3
检验:……