一元一次方程的分式方程~1.1/x-2 = 1-x/2-x -32.3/x + 6/x-1 = 5/xˇ-x(xˇ就是 x的平方 ) 3.1/x-1 - 1/x-2 - 1/x-3 + 1/x-4 = 0
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一元一次方程的分式方程~1.1/x-2 = 1-x/2-x -32.3/x + 6/x-1 = 5/xˇ-x(xˇ就是 x的平方 ) 3.1/x-1 - 1/x-2 - 1/x-3 + 1/x-4 = 0
一元一次方程的分式方程~
1.1/x-2 = 1-x/2-x -3
2.3/x + 6/x-1 = 5/xˇ-x
(xˇ就是 x的平方 )
3.1/x-1 - 1/x-2 - 1/x-3 + 1/x-4 = 0
一元一次方程的分式方程~1.1/x-2 = 1-x/2-x -32.3/x + 6/x-1 = 5/xˇ-x(xˇ就是 x的平方 ) 3.1/x-1 - 1/x-2 - 1/x-3 + 1/x-4 = 0
1.1/x-2 = 1-x/2-x -3
1/x-2 = x-1/x-2 -3
两边乘x-2
1=x-1-3(x-2)=x-1-3x+6=-2x+5
所以2x=5-1=4
x=2
分式方程要检验
经检验,x=2时分母为0,所以是增根,舍去
所以方程无解
2.3/x + 6/x-1 = 5/xˇ-x
3/x+6/(x-1)=5/x(x-1)
两边乘x(x-1)
3(x-1)+6x=5
3x-3+6x=5
9x=8
x=8/9
经检验,x=8/9是方程的解
3.1/x-1 - 1/x-2 - 1/x-3 + 1/x-4 = 0
1/(x-1)+1/(x-4)-[1/(x-2)+1/(x-3)]=0
通分
(2x-5)/(x-1)(x-4)-(2x-5)/(x-2)(x-3)=0
(2x-5)[1/(x^2-5x+4)-1/(x^2-5x+6)]
因为x^2-5x+4不等于x^2-5x+6
所以1/(x^2-5x+4)-1/(x^2-5x+6)不等于0
所以2x-5=0
x=5/2
经检验,x=5/2是方程的解