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

x^2 = 0

x^5 = 0

x^5 = 0

1*x^5 = 0 // : 1

x^5 = 0

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

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

1/3*x^-1-6*x^-5 = 0

t_1 = x^-1

1/3*t_1^1-6*t_1^5 = 0

1/3*t_1-6*t_1^5 = 0

t_1*(1/3-6*t_1^4) = 0

-6*t_1^4 = -1/3 // : -6

t_1^4 = 1/18

t_1^4 = 1/18 // ^ 1/4

abs(t_1) = (1/18)^(1/4)

t_1 = (1/18)^(1/4) or t_1 = -(1/18)^(1/4)

t_1 = 0

t_1 = 0

t_1 = (1/18)^(1/4)

x^-1-(1/18)^(1/4) = 0

1*x^-1 = (1/18)^(1/4) // : 1

x^-1 = (1/18)^(1/4)

-1 < 0

1/(x^1) = (1/18)^(1/4) // * x^1

1 = (1/18)^(1/4)*x^1 // : (1/18)^(1/4)

1/((1/18)^(1/4)) = x^1

x = 1/((1/18)^(1/4))

t_1 = -(1/18)^(1/4)

x^-1+(1/18)^(1/4) = 0

1*x^-1 = -(1/18)^(1/4) // : 1

x^-1 = -(1/18)^(1/4)

-1 < 0

1/(x^1) = -(1/18)^(1/4) // * x^1

1 = -(1/18)^(1/4)*x^1 // : -(1/18)^(1/4)

1/(-(1/18)^(1/4)) = x^1

x = 1/(-(1/18)^(1/4))

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x naleu017Cy do O

x in { 1/((1/18)^(1/4)), 1/(-(1/18)^(1/4)) }

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