3z-2=1/z

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Solution for 3z-2=1/z equation:


D( z )

z = 0

z = 0

z = 0

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

3*z-2 = 1/z // - 1/z

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

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

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

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

z^1*(3*z^2-2*z^1-1*z^0) = 0

z^1

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

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

DELTA = (-2)^2-(-1*3*4)

DELTA = 16

DELTA > 0

z = (16^(1/2)+2)/(2*3) or z = (2-16^(1/2))/(2*3)

z = 1 or z = -1/3

z in { -1/3, 1}

z in { -1/3, 1 }

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