8/z-z=4

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Solution for 8/z-z=4 equation: 


D( z )

z = 0

z = 0

z = 0

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

8/z-z = 4 // - 4

8/z-z-4 = 0

8*z^-1-1*z^1-4*z^0 = 0

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

z^1*(8*z^0-1*z^2-4*z^1) = 0

z^1

8-z^2-4*z = 0

8-z^2-4*z = 0

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

DELTA = 48

DELTA > 0

z = (48^(1/2)+4)/(-1*2) or z = (4-48^(1/2))/(-1*2)

z = (4*3^(1/2)+4)/(-2) or z = (4-4*3^(1/2))/(-2)

z in { (4*3^(1/2)+4)/(-2), (4-4*3^(1/2))/(-2)} 

z in { (4*3^(1/2)+4)/(-2), (4-4*3^(1/2))/(-2) }

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