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D( z )
z = 0
z = 0
z = 0
z in (-oo:0) U (0:+oo)
z-(4/z)-8 = 5/7 // - 5/7
z-(4/z)-(5/7)-8 = 0
z-4*z^-1-5/7-8 = 0
1*z^1-4*z^-1-61/7*z^0 = 0
(1*z^2-61/7*z^1-4*z^0)/(z^1) = 0 // * z^2
z^1*(1*z^2-61/7*z^1-4*z^0) = 0
z^1
z^2+(-61/7)*z-4 = 0
z^2+(-61/7)*z-4 = 0
DELTA = (-61/7)^2-(-4*1*4)
DELTA = 4505/49
DELTA > 0
z = ((4505/49)^(1/2)-(-61/7))/(1*2) or z = (-(-61/7)-(4505/49)^(1/2))/(1*2)
z = ((4505/49)^(1/2)+61/7)/2 or z = (61/7-(4505/49)^(1/2))/2
z in { (61/7-(4505/49)^(1/2))/2, ((4505/49)^(1/2)+61/7)/2}
z in { (61/7-(4505/49)^(1/2))/2, ((4505/49)^(1/2)+61/7)/2 }
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