4z^-1/8(3z^7-z^-1/8)

Solution for 4z^-1/8(3z^7-z^-1/8) equation:

D( z )

z = 0

z = 0

z = 0

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

((4*z^-1)/8)*(3*z^7-((z^-1)/8)) = 0

1/2*z^-1*(3*z^7-1/8*z^-1) = 0

3*z^7-1/8*z^-1 = 0

z^-1*(3*z^8-1/8) = 0

3*z^8 = 1/8 // : 3

z^8 = 1/24

z^8 = 1/24 // ^ 1/8

abs(z) = (1/24)^(1/8)

z = (1/24)^(1/8) or z = -(1/24)^(1/8)

z^-1*(z-(1/24)^(1/8))*(z+(1/24)^(1/8)) = 0

1/2*z^-1*z^-1*(z-(1/24)^(1/8))*(z+(1/24)^(1/8)) = 0

( 1/2*z^-1 )

1/2*z^-1 = 0 // : 1/2

z^-1 = 0

z należy do O

( z+(1/24)^(1/8) )

z+(1/24)^(1/8) = 0 // - (1/24)^(1/8)

z = -(1/24)^(1/8)

( z-(1/24)^(1/8) )

z-(1/24)^(1/8) = 0 // + (1/24)^(1/8)

z = (1/24)^(1/8)

( z^-1 )

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

z^-1 = 0

z należy do O

z in { -(1/24)^(1/8), (1/24)^(1/8) }