z-3/z4

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Solution for z-3/z4 equation: 


D( z )

z^4 = 0

z^4 = 0

z^4 = 0

1*z^4 = 0 // : 1

z^4 = 0

z = 0

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

z-(3/(z^4)) = 0

z-3*z^-4 = 0

z-3*z^-4 = 0

z*(1-3*z^-5) = 0

-3*z^-5 = -1 // : -3

z^-5 = 1/3

-5 < 0

1/(z^5) = 1/3 // * z^5

1 = 1/3*z^5 // : 1/3

3 = z^5

z^5 = 3 // ^ 1/5

z = 3^(1/5)

z = 0

z = 0

z in { 0} 

z = 3^(1/5)

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