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

Simple and best practice solution for 1-1/x-6/x^2=0 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 1-1/x-6/x^2=0 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

1-x^-1-6*x^-2 = 0

t_1 = x^-1

1-6*t_1^2-1*t_1^1 = 0

1-6*t_1^2-t_1 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+1)/(-6*2) or t_1 = (1-25^(1/2))/(-6*2)

t_1 = -1/2 or t_1 = 1/3

t_1 = -1/2

x^-1+1/2 = 0

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

x^-1 = -1/2

-1 < 0

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

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

-2 = x^1

x = -2

t_1 = 1/3

x^-1-1/3 = 0

1*x^-1 = 1/3 // : 1

x^-1 = 1/3

-1 < 0

1/(x^1) = 1/3 // * x^1

1 = 1/3*x^1 // : 1/3

3 = x^1

x = 3

x in { -2, 3 }

See similar equations:

| 5x-39=x+9 | | ax-2ay+3bx-6by= | | (u-6)*8=48 | | 3x+2+1x+4=28 | | log(12+2b)=log(b^2-4b) | | 13(12-4x)-3(9+15x)=213 | | ax/b=bx/a | | 3x+(x-4)+14= | | x-(.75x)=25000 | | 35h^2-44hj-7j^2= | | 2A+2B+3A+12B= | | 3x-y=-1.5 | | 12-0.33x=2 | | 5(m-2)+36=-3 | | 0.50x+6=-7 | | v/7-7/v=0 | | sqrt(x)-sqrt(4500-9x)=10 | | tanX=3/5 | | Cos(2x)-3cos(x)=1 | | 1/3x*12=1/2x | | 5*(2x+10)+20=2*(x-3)+12 | | 2(x-3)2+5=13 | | X^2+4-9=x+1 | | x+x(.20)=1706.65 | | 1-9/x^2/1-1/x-6/x^2 | | bp+5gp+br+5gr= | | z+2=-6 | | 2e+20=2h-22 | | 4(p-1)+5p+1=100 | | 50+80t+32t^2= | | 4(x-2)+15=-(x+12) | | 52.47d-26.72=235.63 |

Equations solver categories