1/z-8/11z

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Solution for 1/z-8/11z equation: 


D( z )

z = 0

z = 0

z = 0

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

1/z-((8/11)*z) = 0

(-8/11)*z+1/z = 0

1*z^-1-8/11*z^1 = 0

(1*z^0-8/11*z^2)/(z^1) = 0 // * z^2

z^1*(1*z^0-8/11*z^2) = 0

z^1

(-8/11)*z^2+1 = 0

(-8/11)*z^2+1 = 0

DELTA = 0^2-(1*4*(-8/11))

DELTA = 32/11

DELTA > 0

z = ((32/11)^(1/2)+0)/(2*(-8/11)) or z = (0-(32/11)^(1/2))/(2*(-8/11))

z = -11/16*(32/11)^(1/2) or z = 11/16*(32/11)^(1/2)

z in { -11/16*(32/11)^(1/2), 11/16*(32/11)^(1/2)} 

z in { -11/16*(32/11)^(1/2), 11/16*(32/11)^(1/2) }

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