解分式方程:(1)x⼀x+3=1+2⼀x-1 (2)5⼀x-2+1=x-1⼀2-x

2024-11-02 12:36:29
推荐回答(3个)
回答1:

(1)x/x+3=1+2/x-1
两边同乘以(x+3)(x-1)得:
x(x-1)=(x+3)(x-1)+2(x+3)
x²-x=x²+2x-3+2x+6
5x=-3
x=-3/5

(2)5/x-2+1=x-1/2-x
两边同乘以(x-2)得:
5+x-1=-x+1
2x=-3
x=-3/2

回答2:

1)x/x+3=1+2/x-1
两边同乘以(x+3)(x-1)得:
x(x-1)=(x+3)(x-1)+2(x+3)
x²-x=x²+2x-3+2x+6
5x=-3
x=-3/5

(2)5/x-2+1=x-1/2-x
两边同乘以(x-2)得:
5+x-1=-x+1
2x=-3
x=-3/2

回答3:

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