2z-1/z

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Solution for 2z-1/z equation: 


D( z )

z = 0

z = 0

z = 0

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

2*z-(1/z) = 0

2*z-z^-1 = 0

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

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

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

z^1

2*z^2-1 = 0

2*z^2-1 = 0

DELTA = 0^2-(-1*2*4)

DELTA = 8

DELTA > 0

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

z = (2^(1/2))/2 or z = (-2^(1/2))/2

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

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

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