1/(x-2)-1/(x-1)=1/6

Simple and best practice solution for 1/(x-2)-1/(x-1)=1/6 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-2)-1/(x-1)=1/6 equation: 


D( x )

x-2 = 0

x-1 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:2) U (2:+oo)

1/(x-2)-(1/(x-1)) = 1/6 // - 1/6

1/(x-2)-(1/(x-1))-(1/6) = 0

1/(x-2)-(x-1)^-1-1/6 = 0

1/(x-2)-1/(x-1)-1/6 = 0

(1*6*(x-1))/(6*(x-2)*(x-1))+(-1*6*(x-2))/(6*(x-2)*(x-1))+(-1*(x-2)*(x-1))/(6*(x-2)*(x-1)) = 0

1*6*(x-1)-1*6*(x-2)-1*(x-2)*(x-1) = 0

3*x-x^2-2+6 = 0

3*x-x^2+4 = 0

3*x-x^2+4 = 0

3*x-x^2+4 = 0

DELTA = 3^2-(-1*4*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(-1*2) or x = (-25^(1/2)-3)/(-1*2)

x = -1 or x = 4

(x+1)*(x-4) = 0

((x+1)*(x-4))/(6*(x-2)*(x-1)) = 0

((x+1)*(x-4))/(6*(x-2)*(x-1)) = 0 // * 6*(x-2)*(x-1)

(x+1)*(x-4) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -1, 4 }

See similar equations:

| 7X/10=5/10 | | 1.71=x^5 | | 2x^2-10x+8=2(x-1)(x-4) | | 5x-9=5+5c | | 5x+9=5+5c | | 4t+3= | | P/4-6/6=-8 | | Cos(60)=x/32 | | 11/8-x=1/3 | | 18/x=14/3 | | -6x+x^2=-7 | | 5x^3/2 | | y=(x^(4/5))^1/2 | | (x^(4/5))^1/2 | | J=1/3bv | | -2x+c=7 | | 9x^2-3000x+250000=0 | | -x^2+6x-4=3 | | 17-3x=-58 | | 955=X+0.08X | | 2x+6=5+x | | 5x+x^2=110 | | -5x+-3=65x+-6 | | 30.00=59.0+0.25 | | 30.00-0.25=59.50 | | 6x+125=173 | | 0.25+30.00=59.50 | | 30.00+0.25=59.50 | | 15+37.5+4.55m=70 | | 100/-4=1 | | 15+37.5+4.55=70 | | x-7*6=18 |

Equations solver categories