z-8/z^2-8z

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Solution for z-8/z^2-8z equation:


D( z )

z^2 = 0

z^2 = 0

z^2 = 0

1*z^2 = 0 // : 1

z^2 = 0

z = 0

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

z-(8*z)-(8/(z^2)) = 0

z-8*z-8*z^-2 = 0

-7*z-8*z^-2 = 0

-z*(8*z^-3+7) = 0

8*z^-3 = -7 // : 8

z^-3 = -7/8

-3 < 0

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

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

-8/7 = z^3

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

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

-z = 0

-1*z = 0 // : -1

z = 0

z in { 0}

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

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