8/z-2=z+2/4

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Solution for 8/z-2=z+2/4 equation: 


D( z )

z = 0

z = 0

z = 0

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

8/z-2 = z+2/4 // - z+2/4

8/z-z-(2/4)-2 = 0

8/z-z-1/2-2 = 0

8*z^-1-1*z^1-5/2*z^0 = 0

(8*z^0-1*z^2-5/2*z^1)/(z^1) = 0 // * z^2

z^1*(8*z^0-1*z^2-5/2*z^1) = 0

z^1

(-5/2)*z-z^2+8 = 0

(-5/2)*z-z^2+8 = 0

DELTA = (-5/2)^2-(-1*4*8)

DELTA = 153/4

DELTA > 0

z = ((153/4)^(1/2)-(-5/2))/(-1*2) or z = (-(-5/2)-(153/4)^(1/2))/(-1*2)

z = ((153/4)^(1/2)+5/2)/(-2) or z = (5/2-(153/4)^(1/2))/(-2)

z in { ((153/4)^(1/2)+5/2)/(-2), (5/2-(153/4)^(1/2))/(-2)} 

z in { ((153/4)^(1/2)+5/2)/(-2), (5/2-(153/4)^(1/2))/(-2) }

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