3z-5/z-9

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Solution for 3z-5/z-9 equation: 


D( z )

z = 0

z = 0

z = 0

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

3*z-(5/z)-9 = 0

3*z-5*z^-1-9 = 0

3*z^1-5*z^-1-9*z^0 = 0

(3*z^2-9*z^1-5*z^0)/(z^1) = 0 // * z^2

z^1*(3*z^2-9*z^1-5*z^0) = 0

z^1

3*z^2-9*z-5 = 0

3*z^2-9*z-5 = 0

DELTA = (-9)^2-(-5*3*4)

DELTA = 141

DELTA > 0

z = (141^(1/2)+9)/(2*3) or z = (9-141^(1/2))/(2*3)

z = (141^(1/2)+9)/6 or z = (9-141^(1/2))/6

z in { (9-141^(1/2))/6, (141^(1/2)+9)/6} 

z in { (9-141^(1/2))/6, (141^(1/2)+9)/6 }

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