(2x-(1/x^3))^15

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Solution for (2x-(1/x^3))^15 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

(2*x-(1/(x^3)))^15 = 0

(2*x-x^-3)^15 = 0

2*x-x^-3 = 0

x*(2-x^-4) = 0

-1*x^-4 = -2 // : -1

x^-4 = 2

-4 < 0

1/(x^4) = 2 // * x^4

1 = 2*x^4 // : 2

1/2 = x^4

x^4 = 1/2 // ^ 1/4

abs(x) = (1/2)^(1/4)

x = (1/2)^(1/4) or x = -(1/2)^(1/4)

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

x^15*(x-(1/2)^(1/4))^15*(x+(1/2)^(1/4))^15 = 0

( x+(1/2)^(1/4) )

x+(1/2)^(1/4) = 0 // - (1/2)^(1/4)

x = -(1/2)^(1/4)

( x-(1/2)^(1/4) )

x-(1/2)^(1/4) = 0 // + (1/2)^(1/4)

x = (1/2)^(1/4)

( x )

x = 0

x in { 0} 

x in { -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), -(1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4), (1/2)^(1/4) }

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