初二分式方程练习题
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初二分式方程练习题
1.(2x分之3) + 2 = 0
2.(x-1分之x) + (x+1分之2) =1
3.(x+1分之1) - (x²+3x+2分之x²)=-1
答案
1.3/2x=-2
3=-4x
x=-3/4
2.x/(x-1)+2/(x+1)=1
x(x+1)+2(x-1)=(x-1)(x+1)
x^2+x+2x-2=x^2-1
3x=1
x=1/3
3.1/(x+1)-x^2/(x^2+3x+2)=-1
1/(x+1)-x^2/(x+1)(x+2)=-1
(x+2)/(x+1)(x+2)-x^2(x+1)(x+2)=-1
x+2-x^2=-(x+1)(x+2)
x^2-x-2=x^2+3x+2
4x=-4
x=-1
2.(x-1分之x) + (x+1分之2) =1
3.(x+1分之1) - (x²+3x+2分之x²)=-1
答案
1.3/2x=-2
3=-4x
x=-3/4
2.x/(x-1)+2/(x+1)=1
x(x+1)+2(x-1)=(x-1)(x+1)
x^2+x+2x-2=x^2-1
3x=1
x=1/3
3.1/(x+1)-x^2/(x^2+3x+2)=-1
1/(x+1)-x^2/(x+1)(x+2)=-1
(x+2)/(x+1)(x+2)-x^2(x+1)(x+2)=-1
x+2-x^2=-(x+1)(x+2)
x^2-x-2=x^2+3x+2
4x=-4
x=-1