2z-1/z-8

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Solution for 2z-1/z-8 equation: 


D( z )

z = 0

z = 0

z = 0

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

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

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

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

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

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

z^1

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

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

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

DELTA = 72

DELTA > 0

z = (72^(1/2)+8)/(2*2) or z = (8-72^(1/2))/(2*2)

z = (6*2^(1/2)+8)/4 or z = (8-6*2^(1/2))/4

z in { (8-6*2^(1/2))/4, (6*2^(1/2)+8)/4} 

z in { (8-6*2^(1/2))/4, (6*2^(1/2)+8)/4 }

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