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

Simple and best practice solution for 1/(x-1)+1/(x+1)=1/x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 1/(x-1)+1/(x+1)=1/x equation: 


D( x )

x = 0

x+1 = 0

x-1 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:-1) U (-1:0) U (0:1) U (1:+oo)

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

1/(x-1)+1/(x+1)-(1/x) = 0

1/(x-1)+1/(x+1)-x^-1 = 0

1/(x-1)+1/(x+1)-1/x = 0

(1*x*(x+1))/(x*(x-1)*(x+1))+(1*x*(x-1))/(x*(x-1)*(x+1))+(-1*(x-1)*(x+1))/(x*(x-1)*(x+1)) = 0

1*x*(x+1)+1*x*(x-1)-1*(x-1)*(x+1) = 0

2*x^2-x^2+1 = 0

x^2+1 = 0

(x^2+1)/(x*(x-1)*(x+1)) = 0

(x^2+1)/(x*(x-1)*(x+1)) = 0 // * x*(x-1)*(x+1)

x^2+1 = 0

1*x^2 = -1 // : 1

x^2 = -1

x belongs to the empty set

See similar equations:

| 2x^3+x^2-162x-81=0 | | 11x/2=1x | | (x+4)-(x+16)=24 | | 8(x+3/10)-36/5=5x | | 1620/120 | | 1/(x+4)-1/(x+16)=1/24 | | 3.8x-1.3x+6=1.6x | | 8x^2-2x+6=0 | | 0.12(y-6)+0.18=0.10y-0.07(30) | | 8.1x+6=3.2x-16.4 | | 14=10/x^2 | | 8y^2-y+7=0 | | 7(x-2/3)-2x=2 | | -2/7v=-4 | | 5=15/x | | 3y+1/9=4y+7/9 | | (2x+4)/3=5x-3 | | x(x+6)-3=6x+1 | | 2x+y-(9+4x)= | | x^3-9x^2-3x+27=0 | | w^2=-16 | | x^2=(7/8)x | | -0.10(53)+0.50x=0.05(x-16) | | -(-1/2x+1/7x)=9/2x-((-2x+4)/14) | | 0.16y+0.07(y+2000)=1520 | | 38-6(y-1)=8 | | -(-1/2x+1/7x)=9/2x-(-2x+4/14) | | 4x-(2(3x-4)+2x-9)=5x+8 | | 4x^2+4+8x=0 | | -2x^3+8x^2-6x-5x=3 | | 3x+10/7+x+9/5=7 | | 9(x+2)-7=11 |

Equations solver categories