z+11=-(12/z)

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Solution for z+11=-(12/z) equation: 


D( z )

z = 0

z = 0

z = 0

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

z+11 = -(12/z) // + 12/z

z+12/z+11 = 0

1*z^1+12*z^-1+11*z^0 = 0

(1*z^2+11*z^1+12*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2+11*z^1+12*z^0) = 0

z^1

z^2+11*z+12 = 0

z^2+11*z+12 = 0

DELTA = 11^2-(1*4*12)

DELTA = 73

DELTA > 0

z = (73^(1/2)-11)/(1*2) or z = (-73^(1/2)-11)/(1*2)

z = (73^(1/2)-11)/2 or z = (-(73^(1/2)+11))/2

z in { (-(73^(1/2)+11))/2, (73^(1/2)-11)/2} 

z in { (-(73^(1/2)+11))/2, (73^(1/2)-11)/2 }

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