解方程:3/x+6/x-1=5/x^2-x

1个回答

  • 解方程:

    3/x+6/x-1=5/x^2-x

    3(x-1)+6x=5

    x=8/9

    5/x=7/x-2

    7x=5(x-2)

    x=-5

    (x-1/x+1)-(4/x^2-1)=1

    (x-1)^2-4=x^2-1

    x^2-2x+1-4=x^2-1

    x=-1

    此时分母为0,所以原方程无解

    填空:

    当x_≠±1__时,分时3/x^2-1有意义

    分式0.01x-0.5y/2x+0.03y化为整系数为 x-50y/200x+3y.

    分式x^2-4/x+4的值为0,则x的值为___±2_____

    化简(x/x-2-x/x+2)除以4x/2-x的结果是_-1/(2+x)_.

    已知:x+y=2,xy=-5,则1/x+1/y=____-2/5_____.

    a^3除以a^-2=_____a^5______ (-1/3)^-3=__-27_____

    若a^m=4,a^n=8.则a^4m-3n=___1/16______.

    问题补充:

    还有个解答题:

    2a/2a-b+b/b-2a

    =2a-b/2a-b

    =1

    1/x+y-1/x-y+2x/x^2-y^2

    =[x-y-(x+y)+2x]/(x^2-y^2)

    =2(x-y)/(x+y)(x-y)

    =2/(x+y)

    /x+6/x-1=5/x^2-x

    首先根据分母,可知x等于0和1时分母无意义;

    然后等式两边同时乘上x^2-x,则3(x-1)+6x=5,即9x=8,得x=8/9.

    5/x=7/x-2

    首先根据分母,可知x等于0和2时分母无意义;

    然后等式两边同时乘上x(x-2),则5(x-2)=7x,即2x=-10,得x=-5.

    (x-1/x+1)-(4/x^2-1)=1

    首先根据分母,可知x等于1和-1时分母无意义;

    然后等式两边同时乘上x^2-1,则(x-1)(x-1)-4=x^2-1,即-2x+1=-1,得x=1.