(1/x-2/x^2)/(3x-6/x^5)

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Solution for (1/x-2/x^2)/(3x-6/x^5) equation:


D( x )

x^5 = 0

x = 0

3*x-(6/(x^5)) = 0

x^2 = 0

x^5 = 0

x^5 = 0

1*x^5 = 0 // : 1

x^5 = 0

x = 0

x = 0

x = 0

3*x-(6/(x^5)) = 0

3*x-(6/(x^5)) = 0

3*x-6*x^-5 = 0

3*x-6*x^-5 = 0

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

-2*x^-6 = -1 // : -2

x^-6 = 1/2

-6 < 0

1/(x^6) = 1/2 // * x^6

1 = 1/2*x^6 // : 1/2

2 = x^6

x^6 = 2 // ^ 1/6

abs(x) = 2^(1/6)

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

3*x = 0

3*x = 0 // : 3

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:-2^(1/6)) U (-2^(1/6):0) U (0:2^(1/6)) U (2^(1/6):+oo)

(1/x-(2/(x^2)))/(3*x-(6/(x^5))) = 0

(1/x-2*x^-2)/(3*x-6*x^-5) = 0

(x^-1-2*x^-2)/(3*x-6*x^-5) = 0

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

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

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

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

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

3*x-6*x^-5 = 0

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

-2*x^-6 = -1 // : -2

x^-6 = 1/2

-6 < 0

1/(x^6) = 1/2 // * x^6

1 = 1/2*x^6 // : 1/2

2 = x^6

x^6 = 2 // ^ 1/6

abs(x) = 2^(1/6)

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

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

(x^-1*(x-2))/(3*x*(x-2^(1/6))*(x+2^(1/6))) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x^-1 )

1*x^-1 = 0 // : 1

x^-1 = 0

x naleu017Cy do O

x = 2

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