(1/x^6)-(9/x^3)+8=0

Simple and best practice solution for (1/x^6)-(9/x^3)+8=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/x^6)-(9/x^3)+8=0 equation: 


D( x )

x^3 = 0

x^6 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x^6 = 0

x^6 = 0

1*x^6 = 0 // : 1

x^6 = 0

x = 0

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

1/(x^6)-(9/(x^3))+8 = 0

1/(x^6)-9*x^-3+8 = 0

x^-6-9*x^-3+8 = 0

t_1 = x^-3

1*t_1^2-9*t_1^1+8 = 0

t_1^2-9*t_1+8 = 0

DELTA = (-9)^2-(1*4*8)

DELTA = 49

DELTA > 0

t_1 = (49^(1/2)+9)/(1*2) or t_1 = (9-49^(1/2))/(1*2)

t_1 = 8 or t_1 = 1

t_1 = 1

x^-3-1 = 0

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

x^-3 = 1

-3 < 0

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

1 = 1*x^3 // : 1

1 = x^3

x^3 = 1 // ^ 1/3

x = 1

t_1 = 8

x^-3-8 = 0

1*x^-3 = 8 // : 1

x^-3 = 8

-3 < 0

1/(x^3) = 8 // * x^3

1 = 8*x^3 // : 8

1/8 = x^3

x^3 = 1/8 // ^ 1/3

x = 1/2

x in { 1, 1/2 }

See similar equations:

| 2.2x=22 | | 5m-4/8-m-3/5=m+6/4 | | (1/x^6)-(9/y^3)+8=0 | | y^4+24y^2-1225=0 | | 0.4y+5=1 | | 6(-3x+2)= | | 6C+4-C=26 | | 6/2x=8x/5 | | 2x*5=4x/3 | | 2x*5=4x*3 | | 2x*5=4x/3x | | 2x+5=3+54x | | 24x-22=4(1-3x) | | 2x-5=3-54x | | 5x(6x-3)=0 | | 5y-25=-y | | x+0.05x=2300 | | x+0.05x=2400 | | x+0.05x=2500 | | 3x-(x+6)=4 | | 2*x-6=4 | | x+0.05x=1575 | | x+0.05x=1600 | | x+0.05x=1400 | | 5*(x-3)=2x | | 0.6/15 | | 5x-3y=6.28 | | 2*x+8=-3*x-2 | | Z-5z=-9-z | | 2*x/3+1=7*x/15+3 | | (5/y+1)=(2/2y-1) | | 2x+6=-3x |

Equations solver categories